HTM Learning

HTM Learning Educational Video Maker. Be the Best with Proper Learning.

📚đŸĢŖ Phobia - āĻļāĻŦā§āĻĻ⧇āϰ āĻ…āĻ°ā§āĻĨ āϭ⧟āĨ¤ Phobia- āϕ⧇ Suffix āĻšāĻŋāϏāĻžāĻŦ⧇ āĻŦā§āϝāĻŦāĻšāĻžāϰ āĻ•āϰ⧇ āĻ…āĻ¨ā§āϝ āĻļāĻŦā§āĻĻ⧇āϰ āϏāĻžāĻĨ⧇ āĻŽāĻŋāϞāĻŋā§Ÿā§‡ āύāϤ⧁āύ āĻļāĻŦā§āĻĻ āϤ⧈āϰāĻŋ āĻ•āϰāĻž āϝāĻžā§ŸāĨ¤ āĻāĻŽāύ āĻ•āĻŋāĻ›...
27/08/2025

📚đŸĢŖ Phobia - āĻļāĻŦā§āĻĻ⧇āϰ āĻ…āĻ°ā§āĻĨ āϭ⧟āĨ¤ Phobia- āϕ⧇ Suffix āĻšāĻŋāϏāĻžāĻŦ⧇ āĻŦā§āϝāĻŦāĻšāĻžāϰ āĻ•āϰ⧇ āĻ…āĻ¨ā§āϝ āĻļāĻŦā§āĻĻ⧇āϰ āϏāĻžāĻĨ⧇ āĻŽāĻŋāϞāĻŋā§Ÿā§‡ āύāϤ⧁āύ āĻļāĻŦā§āĻĻ āϤ⧈āϰāĻŋ āĻ•āϰāĻž āϝāĻžā§ŸāĨ¤ āĻāĻŽāύ āĻ•āĻŋāϛ⧁ āĻļāĻŦā§āĻĻ⧇āϰ āωāĻĻāĻžāĻšāϰāĻŖ āύāĻŋāĻšā§‡ āĻĻ⧇āĻ“ā§ŸāĻž āĻšāϞ⧋:

🔰 Acrophobia- āωāĻšā§āϚāϤāĻžāϰ āϭ⧟āĨ¤
🔰 Agoraphobia- āϜāύāϏāĻŽāĻžāĻ—āĻŽ āĻŦāĻž āĻ–ā§‹āϞāĻž āϜāĻžā§ŸāĻ—āĻžāϰ āϭ⧟āĨ¤
🔰 Arachnophobia- āĻŽāĻžāĻ•ā§œāϏāĻžāϰ āϭ⧟āĨ¤
🔰 Bibliophobia- āĻŦāĻ‡ā§Ÿā§‡āϰ āĻĒā§āϰāϤāĻŋ āϭ⧟āĨ¤
🔰 Claustrophobia- āϏāĻ‚āϕ⧀āĻ°ā§āĻŖ āĻŦāĻž āĻŦāĻĻā§āϧāϜāĻžā§ŸāĻ—āĻžāϰ āϭ⧟āĨ¤
🔰 Hydrophobia- āĻĒāĻžāύāĻŋāϰ āϭ⧟āĨ¤
🔰 Nyctophobia- āĻ…āĻ¨ā§āϧāĻ•āĻžāϰ⧇āϰ āϭ⧟āĨ¤
🔰 Thanatophobia- āĻŽā§ƒāĻ¤ā§āϝ⧁āϰ āϭ⧟āĨ¤
🔰 Trypanophobia- āϏ⧁āϚ āĻŦāĻž āχāĻžā§āĻœā§‡āĻ•āĻļāύ⧇āϰ āϭ⧟āĨ¤
🔰 Xenophobia- āĻŦāĻŋāĻĻ⧇āĻļāĻŋāĻĻ⧇āϰ āĻĒā§āϰāϤāĻŋ āϭ⧟ āĻŦāĻž āĻŦāĻŋāĻĻā§āĻŦ⧇āώāĨ¤

āφāĻĒāύāĻžāϰ āĻ•āĻŋāϏ⧇ āϭ⧟ āϞāĻžāϗ⧇- āϜāĻžāύāĻžāϤ⧇ āĻĒāĻžāϰ⧇āύ āĻ•āĻŽā§‡āĻ¨ā§āϟ āĻ•āϰ⧇āĨ¤ āĻāϰāĻ•āĻŽ āφāϰāĻ“ āύāϤ⧁āύ āύāϤ⧁āύ āĻŦāĻŋāώ⧟ āĻļāĻŋāĻ–āϤ⧇ āĻĢāϞ⧋ āĻ•āϰāϤ⧇ āĻĒāĻžāϰ⧇āύ HTM Learning āĻĒ⧇āχāϜ āϟāĻŋāĨ¤

N.B: Photo for attention. Don't take it seriously.
āϧāĻ¨ā§āϝāĻŦāĻžāĻĻ đŸŒŋ📚

24/08/2025

A Bangladeshi Presenter of New Bangladesh 2.0
Mr. Ashik Chowdhury, BIDA Chairman.

Check out His presentation style and way of speaking and spelling is next level.
Video Credit: Bangladesh Investment Summit 2025.â™¨ī¸âŖī¸â™¨ī¸

29/07/2025

āĻ—āĻŖāĻŋāϤ⧇āϰ āĻĻ⧁āύāĻŋ⧟āĻžāϰ āϏ⧂āĻ¤ā§āϰ āĻāĻ•āϏāĻžāĻĨ⧇ 🛟 āĻāϰ āĻŦāĻžāχāϰ⧇ āϤ⧇āĻŽāύ āĻ•āĻŋāϛ⧁ āύ⧇āχ 🛟

1.📷 (a+b)²= a²+2ab+b²
2.📷 (a+b)²= (a-b)²+4ab
3.📷 (a-b)²= a²-2ab+b²
4.📷 (a-b)²= (a+b)²-4ab
5.📷 a² + b²= (a+b)²-2ab.
6.📷 a² + b²= (a-b)²+2ab.
7.📷 a²-b²= (a +b)(a -b)
8.📷 2(a²+b²)= (a+b)²+(a-b)²
9.📷 4ab = (a+b)²-(a-b)²
10.📷 ab = {(a+b)/2}²-{(a-b)/2}²
11.📷 (a+b+c)² = a²+b²+c²+2(ab+bc+ca)
12.📷 (a+b)Âŗ = aÂŗ+3a²b+3ab²+bÂŗ
13.📷 (a+b)Âŗ = aÂŗ+bÂŗ+3ab(a+b)
14.📷 a-b)Âŗ= aÂŗ-3a²b+3ab²-bÂŗ
15.📷 (a-b)Âŗ= aÂŗ-bÂŗ-3ab(a-b)
16.📷 aÂŗ+bÂŗ= (a+b) (a²-ab+b²)
17.📷 aÂŗ+bÂŗ= (a+b)Âŗ-3ab(a+b)
18.📷 aÂŗ-bÂŗ = (a-b) (a²+ab+b²)
19.📷 aÂŗ-bÂŗ = (a-b)Âŗ+3ab(a-b)
20. (a² + b² + c²) = (a + b + c)² – 2(ab + bc + ca)
21.📷 2 (ab + bc + ca) = (a + b + c)² – (a² + b² + c²)
22.📷 (a + b + c)Âŗ = aÂŗ + bÂŗ + cÂŗ + 3 (a + b) (b + c) (c + a)
23.📷 aÂŗ + bÂŗ + cÂŗ – 3abc =(a+b+c)(a² + b²+ c²–ab–bc– ca)
24.📷 a3 + b3 + c3 – 3abc =ÂŊ (a+b+c) { (a–b)²+(b–c)²+(c–a)²}
25.📷(x + a) (x + b) = x² + (a + b) x + ab
26.📷 (x + a) (x – b) = x² + (a – b) x – ab
27.📷 (x – a) (x + b) = x² + (b – a) x – ab
28.📷 (x – a) (x – b) = x² – (a + b) x + ab
29.📷 (x+p) (x+q) (x+r) = xÂŗ + (p+q+r) x² + (pq+qr+rp) x +pqr
30.📷 bc (b-c) + ca (c- a) + ab (a - b) = - (b - c) (c- a) (a - b)
31.📷 a² (b- c) + b² (c- a) + c² (a - b) = -(b-c) (c-a) (a - b)
32.📷 a (b² - c²) + b (c² - a²) + c (a² - b²) = (b - c) (c- a) (a - b)
33.aÂŗ (b - c) + bÂŗ (c-a) +cÂŗ (a -b) =- (b-c) (c-a) (a - b)(a + b + c)
34.📷 b²-c² (b²-c²) + c²a²(c²-a²)+a²b²(a²-b²)=-(b-c) (c-a) (a-b) (b+c) (c+a) (a+b)
35.(ab + bc+ca) (a+b+c) - abc = (a + b)(b + c) (c+a)
36.(b + c)(c + a)(a + b) + abc = (a + b +c) (ab + bc + ca)
37. đŸ”ŖāφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āĻ°đŸ”Ŗ
38. 1.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = (āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ × āĻĒā§āϰāĻ¸ā§āĻĨ) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
39. 2.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 2 (āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ+āĻĒā§āϰāĻ¸ā§āĻĨ)āĻāĻ•āĻ•
40. 3.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•āĻ°ā§āĻŖ = √(āĻĻ⧈āĻ°ā§āĻ˜ā§āĻ¯Â˛+āĻĒā§āϰāĻ¸ā§āĻĨ²)āĻāĻ•āĻ•
41. 4.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ= āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāĻ˛ÃˇāĻĒā§āϰāĻ¸ā§āϤ āĻāĻ•āĻ•
42. 5.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĒā§āϰāĻ¸ā§āϤ= āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāĻ˛ÃˇāĻĻ⧈āĻ°ā§āĻ˜ā§āϝ āĻāĻ•āĻ•
43. đŸ”ŖāĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āĻ°đŸ”Ŗ
44. 1.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = (āϝ⧇ āϕ⧋āύ āĻāĻ•āϟāĻŋ āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ)² āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
45. 2.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 4 × āĻāĻ• āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ āĻāĻ•āĻ•
46. 3.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•āĻ°ā§āĻŖ=√2 × āĻāĻ• āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ āĻāĻ•āĻ•
47. 4.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻŦāĻžāĻšā§=√āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ āĻŦāĻž āĻĒāϰāĻŋāϏ⧀āĻŽāĻžÃˇ4 āĻāĻ•āĻ•
48. 📷📷āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœđŸ“ˇ
49. 1.āϏāĻŽāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = √ž×(āĻŦāĻžāĻšā§)²
50. 2.āϏāĻŽāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āωāĻšā§āϚāϤāĻž = √3/2×(āĻŦāĻžāĻšā§)
51. 3.āĻŦāĻŋāώāĻŽāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = √s(s-a) (s-b) (s-c)
52. āĻāĻ–āĻžāύ⧇ a, b, c āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āϤāĻŋāύāϟāĻŋ āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ, s=āĻ…āĻ°ā§āϧāĻĒāϰāĻŋāϏ⧀āĻŽāĻž
53. ★āĻĒāϰāĻŋāϏ⧀āĻŽāĻž 2s=(a+b+c)
54. 4āϏāĻžāϧāĻžāϰāĻŖ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = ÂŊ
55. (āĻ­ā§‚āĻŽāĻŋ×āωāĻšā§āϚāϤāĻž) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
56. 5.āϏāĻŽāϕ⧋āĻŖā§€ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = ÂŊ(a×b)
57. āĻāĻ–āĻžāύ⧇ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āϏāĻŽāϕ⧋āĻŖ āϏāĻ‚āϞāĻ—ā§āύ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ a āĻāĻŦāĻ‚ b.
58. 6.āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 2√4b²-a²/4 āĻāĻ–āĻžāύ⧇, a= āĻ­ā§‚āĻŽāĻŋ; b= āĻ…āĻĒāϰ āĻŦāĻžāĻšā§āĨ¤
59. 7.āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āωāĻšā§āϚāϤāĻž = 2(āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ/āĻ­ā§‚āĻŽāĻŋ)
60. 8.āϏāĻŽāϕ⧋āĻŖā§€ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āĻ…āϤāĻŋāϭ⧁āϜ =√ āϞāĻŽā§āĻŦ²+āĻ­ā§‚āĻŽāĻŋ²
61. 9.āϞāĻŽā§āĻŦ =√āĻ…āϤāĻŋāĻ­ā§‚āĻœÂ˛-āĻ­ā§‚āĻŽāĻŋ²
62. 10.āĻ­ā§‚āĻŽāĻŋ = √āĻ…āϤāĻŋāĻ­ā§‚āĻœÂ˛-āϞāĻŽā§āĻŦ²
63. 11.āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āωāĻšā§āϚāϤāĻž = √b² - a²/4
64. āĻāĻ–āĻžāύ⧇ a= āĻ­ā§‚āĻŽāĻŋ; b= āϏāĻŽāĻžāύ āĻĻ⧁āχ āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝāĨ¤
65. 12.★āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž=āϤāĻŋāύ āĻŦāĻžāĻšā§āϰ āϏāĻŽāĻˇā§āϟāĻŋ
66. 📷📷āϰāĻŽā§āĻŦāĻ¸đŸ“ˇ
67. 1.āϰāĻŽā§āĻŦāϏ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = ÂŊ× (āĻ•āĻ°ā§āĻŖāĻĻ⧁āχāϟāĻŋāϰ āϗ⧁āĻŖāĻĢāϞ)
68. 2.āϰāĻŽā§āĻŦāϏ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 4× āĻāĻ• āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ
69. 📷📷āϏāĻžāĻŽāĻžāĻ¨ā§āϤāϰāĻŋāĻ•đŸ“ˇ
70. 1.āϏāĻžāĻŽāĻžāĻ¨ā§āϤāϰāĻŋāϕ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = āĻ­ā§‚āĻŽāĻŋ × āωāĻšā§āϚāϤāĻž =
71. 2.āϏāĻžāĻŽāĻžāĻ¨ā§āϤāϰāĻŋāϕ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 2×(āϏāĻ¨ā§āύāĻŋāĻšāĻŋāϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ⧇āϰ āϏāĻŽāĻˇā§āϟāĻŋ)
72. 📷📷āĻŸā§āϰāĻžāĻĒāĻŋāϜāĻŋāϝāĻŧāĻžāĻŽđŸ“ˇ
73. 1. āĻŸā§āϰāĻžāĻĒāĻŋāϜāĻŋāϝāĻŧāĻžāĻŽā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ =ÂŊ×(āϏāĻŽāĻžāĻ¨ā§āϤāϰāĻžāϞ āĻŦāĻžāĻšā§ āĻĻ⧁āχāϟāĻŋāϰ āϝāĻžā§‡āĻ—āĻĢāϞ)×āωāĻšā§āϚāϤāĻž
74. 📷📷 āϘāύāĻ•đŸ“ˇ
75. 1.āϘāύāϕ⧇āϰ āϘāύāĻĢāϞ = (āϝ⧇āϕ⧋āύ āĻŦāĻžāĻšā§)Âŗ āϘāύ āĻāĻ•āĻ•
76. 2.āϘāύāϕ⧇āϰ āϏāĻŽāĻ—ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 6× āĻŦāĻžāĻšā§Â˛ āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
77. 3.āϘāύāϕ⧇āϰ āĻ•āĻ°ā§āĻŖ = √3×āĻŦāĻžāĻšā§ āĻāĻ•āĻ•
78. 📷📷āφāϝāĻŧāϤāϘāύāĻ•đŸ“ˇ
79. 1.āφāϝāĻŧāϤāϘāύāϕ⧇āϰ āϘāύāĻĢāϞ = (āĻĻā§ˆā§°ā§āϘāĻžÃ—āĻĒā§āϰāĻ¸ā§āĻ¤Ã—āωāĻšā§āϚāϤāĻž) āϘāύ āĻāĻ•āĻ•
80. 2.āφāϝāĻŧāϤāϘāύāϕ⧇āϰ āϏāĻŽāĻ—ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 2(ab + bc + ca) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
81. [ āϝ⧇āĻ–āĻžāύ⧇ a = āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ b = āĻĒā§āϰāĻ¸ā§āϤ c = āωāĻšā§āϚāϤāĻž ]
82. 3.āφāϝāĻŧāϤāϘāύāϕ⧇āϰ āĻ•āĻ°ā§āĻŖ = √a²+b²+c² āĻāĻ•āĻ•
83. 4. āϚāĻžāϰāĻŋ āĻĻ⧇āĻ“āϝāĻŧāĻžāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 2(āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ + āĻĒā§āϰāĻ¸ā§āĻĨ)×āωāĻšā§āϚāϤāĻž
84. 📷📷āĻŦ⧃āĻ¤ā§āĻ¤đŸ“ˇ
85. 1.āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = Ī€r²=22/7r² {āĻāĻ–āĻžāύ⧇ Ī€=āĻ§ā§āϰ⧁āĻŦāĻ• 22/7, āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ= r}
86. 2. āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻĒāϰāĻŋāϧāĻŋ = 2Ī€r
87. 3. āĻ—ā§‹āϞāϕ⧇āϰ āĻĒ⧃āĻˇā§āĻ āϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 4Ī€r² āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
88. 4. āĻ—ā§‹āϞāϕ⧇āϰ āφāϝāĻŧāϤāύ = 4Ī€rÂŗÃˇ3 āϘāύ āĻāĻ•āĻ•
89. 5. h āωāĻšā§āϚāϤāĻžāϝāĻŧ āϤāϞāĻšā§āĻšā§‡āĻĻ⧇ āĻ‰ā§ŽāĻĒāĻ¨ā§āύ āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ = √r²-h² āĻāĻ•āĻ•
90. 6.āĻŦ⧃āĻ¤ā§āϤāϚāĻžāĻĒ⧇āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ s=Ī€rθ/180° ,
91. āĻāĻ–āĻžāύ⧇ θ =āϕ⧋āĻŖ
92. 📷āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ / āĻŦ⧇āϞāĻ¨đŸ“ˇ
93. āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āĻ­ā§‚āĻŽāĻŋāϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ r āĻāĻŦāĻ‚ āωāĻšā§āϚāϤāĻž h āφāϰ āĻšā§‡āϞāĻžāύ⧋ āϤāϞ⧇āϰ āωāĻšā§āϚāϤāĻž l āĻšāϞ⧇,
94. 1.āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āφāϝāĻŧāϤāύ = Ī€r²h
95. 2.āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āĻŦāĻ•ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ (āϏāĻŋāĻāϏāĻ) = 2Ī€rhāĨ¤
96. 3.āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āĻĒ⧃āĻˇā§āĻ āϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ (āϟāĻŋāĻāϏāĻ) = 2Ī€r (h + r)
97. 📷āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āϕ⧋āĻŖāĻ•đŸ“ˇ
98. āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āĻ­ā§‚āĻŽāĻŋāϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ r āĻāĻŦāĻ‚ āωāĻšā§āϚāϤāĻž h āφāϰ āĻšā§‡āϞāĻžāύ⧋ āϤāϞ⧇āϰ āωāĻšā§āϚāϤāĻž l āĻšāϞ⧇,
99. 1.āϕ⧋āĻŖāϕ⧇āϰ āĻŦāĻ•ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ= Ī€rl āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
100. 2.āϕ⧋āĻŖāϕ⧇āϰ āϏāĻŽāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ= Ī€r(r+l) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
101. 3.āϕ⧋āĻŖāϕ⧇āϰ āφāϝāĻŧāϤāύ= â…“Ī€r²h āϘāύ āĻāĻ•āĻ•
102. 📷✮āĻŦāĻšā§āϭ⧁āĻœā§‡āϰ āĻ•āĻ°ā§āϪ⧇āϰ āϏāĻ‚āĻ–ā§āϝāĻž= n(n-3)/2
103. ✮āĻŦāĻšā§āϭ⧁āĻœā§‡āϰ āϕ⧋āĻŖāϗ⧁āϞāĻŋāϰ āϏāĻŽāĻˇā§āϟāĻŋ=(2n-4)āϏāĻŽāϕ⧋āĻŖ
104. āĻāĻ–āĻžāύ⧇ n=āĻŦāĻžāĻšā§āϰ āϏāĻ‚āĻ–ā§āϝāĻž
105. ★āϚāϤ⧁āĻ°ā§āϭ⧁āĻœā§‡āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž=āϚāĻžāϰ āĻŦāĻžāĻšā§āϰ āϏāĻŽāĻˇā§āϟāĻŋ
106. 📷āĻ¤ā§āϰāĻŋāϕ⧋āĻŖāĻŽāĻŋāϤāĻŋāϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞ⧀āĻƒđŸ“ˇ
107. 1. sinθ=⤞āĻŽā§āĻŦ/āĻ…āϤāĻŋāĻ­ā§‚āϜ
108. 2. cosθ=āĻ­ā§‚āĻŽāĻŋ/āĻ…āϤāĻŋāĻ­ā§‚āϜ
109. 3. taneθ=⤞āĻŽā§āĻŦ/āĻ­ā§‚āĻŽāĻŋ
110. 4. cotθ=āĻ­ā§‚āĻŽāĻŋ/āϞāĻŽā§āĻŦ
111. 5. secθ=āĻ…āϤāĻŋāĻ­ā§‚āϜ/āĻ­ā§‚āĻŽāĻŋ
112. 6. cosecθ=āĻ…āϤāĻŋāĻ­ā§‚āϜ/āϞāĻŽā§āĻŦ
113. 7. sinθ=1/cosecθ, cosecθ=1/sinθ
114. 8. cosθ=1/secθ, secθ=1/cosθ
115. 9. tanθ=1/cotθ, cotθ=1/tanθ
116. 10. sin²θ + cos²θ= 1
117. 11. sin²θ = 1 - cos²θ
118. 12. cos²θ = 1- sin²θ
119. 13. sec²θ - tan²θ = 1
120. 14. sec²θ = 1+ tan²θ
121. 15. tan²θ = sec²θ - 1
122. 16, cosec²θ - cot²θ = 1
123. 17. cosec²θ = cot²θ + 1
124. 18. cot²θ = cosec²θ - 1
125. 📷📷 āĻŦāĻŋāϝāĻŧāĻžā§‡āϗ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞāĻŋ📷
126. 1. āĻŦāĻŋāϝāĻŧāĻžā§‡āϜāύ-āĻŦāĻŋāϝāĻŧā§‹āĻœā§āϝ =āĻŦāĻŋāϝāĻŧā§‹āĻ—āĻĢāϞāĨ¤
127. 2.āĻŦāĻŋāϝāĻŧāĻžā§‡āϜāύ=āĻŦāĻŋāϝāĻŧāĻžā§‡āĻ—āĻĢ + āĻŦāĻŋāϝāĻŧāĻžā§‡āĻœā§āϝ
128. 3.āĻŦāĻŋāϝāĻŧāĻžā§‡āĻœā§āϝ=āĻŦāĻŋāϝāĻŧāĻžā§‡āϜāύ-āĻŦāĻŋāϝāĻŧāĻžā§‡āĻ—āĻĢāϞ
129. 📷📷 āϗ⧁āϪ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞāĻŋ📷
130. 1.āϗ⧁āĻŖāĻĢāϞ =āϗ⧁āĻŖā§āϝ × āϗ⧁āĻŖāĻ•
131. 2.āϗ⧁āĻŖāĻ• = āϗ⧁āĻŖāĻĢāϞ Ãˇ āϗ⧁āĻŖā§āϝ
132. 3.āϗ⧁āĻŖā§āϝ= āϗ⧁āĻŖāĻĢāϞ Ãˇ āϗ⧁āĻŖāĻ•
133. 📷📷 āĻ­āĻžāϗ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞāĻŋ📷
134. āύāĻŋāσāĻļ⧇āώ⧇ āĻŦāĻŋāĻ­āĻžāĻœā§āϝ āύāĻž āĻšāϞ⧇āĨ¤
135. 1.āĻ­āĻžāĻœā§āϝ= āĻ­āĻžāϜāĻ• × āĻ­āĻžāĻ—āĻĢāϞ + āĻ­āĻžāĻ—āĻļ⧇āώāĨ¤
136. 2.āĻ­āĻžāĻœā§āϝ= (āĻ­āĻžāĻœā§āĻ¯â€” āĻ­āĻžāĻ—āĻļ⧇āώ) Ãˇ āĻ­āĻžāĻ—āĻĢāϞāĨ¤
137. 3.āĻ­āĻžāĻ—āĻĢāϞ = (āĻ­āĻžāĻœā§āϝ — āĻ­āĻžāĻ—āĻļ⧇āώ)Ãˇ āĻ­āĻžāϜāĻ•āĨ¤
138. *āύāĻŋāσāĻļ⧇āώ⧇ āĻŦāĻŋāĻ­āĻžāĻœā§āϝ āĻšāϞ⧇āĨ¤
139. 4.āĻ­āĻžāϜāĻ•= āĻ­āĻžāĻœā§āĻ¯Ãˇ āĻ­āĻžāĻ—āĻĢāϞāĨ¤
140. 5.āĻ­āĻžāĻ—āĻĢāϞ = āĻ­āĻžāĻœā§āϝ Ãˇ āĻ­āĻžāϜāĻ•āĨ¤
141. 6.āĻ­āĻžāĻœā§āϝ = āĻ­āĻžāϜāĻ• × āĻ­āĻžāĻ—āĻĢāϞāĨ¤
142. 📷📷āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ⧇āϰ āϞ.āϏāĻž.āϗ⧁ āĻ“ āĻ—.āϏāĻž.āϗ⧁ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞ⧀ 📷
143. 1.āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ⧇āϰ āĻ—.āϏāĻž.āϗ⧁ = āϞāĻŦāϗ⧁āϞāĻžā§‡āϰ āĻ—.āϏāĻž.āϗ⧁ / āĻšāϰāϗ⧁āϞāĻžā§‡āϰ āϞ.āϏāĻž.āϗ⧁
144. 2.āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ⧇āϰ āϞ.āϏāĻž.āϗ⧁ =āϞāĻŦāϗ⧁āϞāĻžā§‡āϰ āϞ.āϏāĻž.āϗ⧁ /āĻšāϰāϗ⧁āϞāĻžāϰ āĻ—.āϏāĻž.āϗ⧁
145. 3.āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāĻĻā§āĻŦāϝāĻŧ⧇āϰ āϗ⧁āĻŖāĻĢāϞ = āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāĻĻā§āĻŦāϝāĻŧ⧇āϰ āϞ.āϏāĻž.āϗ⧁ × āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāĻĻā§āĻŦāϝāĻŧ⧇āϰ āĻ—.āϏāĻž.āϗ⧁.
146. 📷āĻ—āĻĄāĻŧ āύāĻŋāĻ°ā§āĻŖāϝāĻŧ 📷
147. 1.āĻ—āĻĄāĻŧ = āϰāĻžāĻļāĻŋ āϏāĻŽāĻˇā§āϟāĻŋ /āϰāĻžāĻļāĻŋ āϏāĻ‚āĻ–ā§āϝāĻž
148. 2.āϰāĻžāĻļāĻŋāϰ āϏāĻŽāĻˇā§āϟāĻŋ = āĻ—āĻĄāĻŧ ×āϰāĻžāĻļāĻŋāϰ āϏāĻ‚āĻ–ā§āϝāĻž
149. 3.āϰāĻžāĻļāĻŋāϰ āϏāĻ‚āĻ–ā§āϝāĻž = āϰāĻžāĻļāĻŋāϰ āϏāĻŽāĻˇā§āϟāĻŋ Ãˇ āĻ—āĻĄāĻŧ
150. 4.āφāϝāĻŧ⧇āϰ āĻ—āĻĄāĻŧ = āĻŽāĻžā§‡āϟ āφāϝāĻŧ⧇āϰ āĻĒāϰāĻŋāĻŽāĻžāĻŖ / āĻŽāĻžā§‡āϟ āϞāĻžā§‡āϕ⧇āϰ āϏāĻ‚āĻ–ā§āϝāĻž
151. 5.āϏāĻ‚āĻ–ā§āϝāĻžāϰ āĻ—āĻĄāĻŧ = āϏāĻ‚āĻ–ā§āϝāĻžāϗ⧁āϞāĻžā§‡āϰ āϝāĻžā§‡āĻ—āĻĢāϞ /āϏāĻ‚āĻ–ā§āϝāĻžāϰ āĻĒāϰāĻŋāĻŽāĻžāύ āĻŦāĻž āϏāĻ‚āĻ–ā§āϝāĻž
152. 6.āĻ•ā§āϰāĻŽāĻŋāĻ• āϧāĻžāϰāĻžāϰ āĻ—āĻĄāĻŧ =āĻļ⧇āώ āĻĒāĻĻ +ā§§āĻŽ āĻĒāĻĻ /2
153. 📷📷āϏ⧁āĻĻāĻ•āώāĻžāϰ āĻĒāϰāĻŋāĻŽāĻžāύ āύāĻŋāĻ°ā§āύāϝāĻŧ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāĻ˛ā§€đŸ“ˇ
154. 1. āϏ⧁āĻĻ = (āϏ⧁āĻĻ⧇āϰ āĻšāĻžāĻ°Ã—āφāϏāĻ˛Ã—āϏāĻŽāϝāĻŧ) Ãˇā§§ā§Ļā§Ļ
155. 2. āϏāĻŽāϝāĻŧ = (100× āϏ⧁āĻĻ)Ãˇ (āφāϏāĻ˛Ã—āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ)
156. 3. āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ = (100×āϏ⧁āĻĻ)Ãˇ(āφāϏāĻ˛Ã—āϏāĻŽāϝāĻŧ)
157. 4. āφāϏāϞ = (100×āϏ⧁āĻĻ)Ãˇ(āϏāĻŽāϝāĻŧ×āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ)
158. 5. āφāϏāϞ = {100×(āϏ⧁āĻĻ-āĻŽā§‚āϞ)}Ãˇ(100+āϏ⧁āĻĻ⧇āϰ āĻšāĻžāĻ°Ã—āϏāĻŽāϝāĻŧ )
159. 6. āϏ⧁āĻĻāĻžāϏāϞ = āφāϏāϞ + āϏ⧁āĻĻ
160. 7. āϏ⧁āĻĻāĻžāϏāϞ = āφāϏāϞ ×(1+ āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ)× āϏāĻŽāϝāĻŧ |[āϚāĻ•ā§āϰāĻŦ⧃āĻĻā§āϧāĻŋ āϏ⧁āĻĻ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇]āĨ¤
161. 📷📷āϞāĻžāĻ­-āĻ•ā§āώāϤāĻŋāϰ āĻāĻŦāĻ‚ āĻ•ā§āϰāϝāĻŧ-āĻŦāĻŋāĻ•ā§āϰāϝāĻŧ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāĻ˛ā§€đŸ“ˇ
162. 1. āϞāĻžāĻ­ = āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ
163. 2.āĻ•ā§āώāϤāĻŋ = āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ
164. 3.āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āϞāĻžāĻ­
165. āĻ…āĻĨāĻŦāĻž
166. āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ + āĻ•ā§āώāϤāĻŋ
167. 4.āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ + āϞāĻžāĻ­
169. āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āĻ•ā§āώāϤāĻŋ
📷📷1-100 āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻžāĻŽāύ⧇ āϰāĻžāĻ–āĻžāϰ āϏāĻšāϜ āωāĻĒāĻžāϝāĻŧāĻƒđŸ“ˇ
āĻļāĻ°ā§āϟāĻ•āĻžāϟ :- 44 -22 -322-321
★1āĻĨ⧇āϕ⧇100āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=25āϟāĻŋ
★1āĻĨ⧇āϕ⧇10āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=4āϟāĻŋ 2,3,5,7
★11āĻĨ⧇āϕ⧇20āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=4āϟāĻŋ 11,13,17,19
★21āĻĨ⧇āϕ⧇30āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 23,29
★31āĻĨ⧇āϕ⧇40āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 31,37
★41āĻĨ⧇āϕ⧇50āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=3āϟāĻŋ 41,43,47
★51āĻĨ⧇āϕ⧇ 60āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 53,59
★61āĻĨ⧇āϕ⧇70āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 61,67
★71āĻĨ⧇āϕ⧇80 āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=3āϟāĻŋ 71,73,79
★81āĻĨ⧇āϕ⧇ 90āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 83,89
★91āĻĨ⧇āϕ⧇100āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=1āϟāĻŋ 97
📷1-100 āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž 25 āϟāĻŋāσ
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97
📷1-100āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϝ⧋āĻ—āĻĢāϞ
1060āĨ¤
📷1.āϕ⧋āύ āĻ•āĻŋāϛ⧁āϰ
āĻ—āϤāĻŋāĻŦ⧇āĻ—= āĻ…āϤāĻŋāĻ•ā§āϰāĻžāĻ¨ā§āϤ āĻĻā§‚āϰāĻ¤ā§āĻŦ/āϏāĻŽāϝāĻŧ
2.āĻ…āϤāĻŋāĻ•ā§āϰāĻžāĻ¨ā§āϤ āĻĻā§‚āϰāĻ¤ā§āĻŦ = āĻ—āϤāĻŋāĻŦ⧇āĻ—Ã—āϏāĻŽāϝāĻŧ
3.āϏāĻŽāϝāĻŧ= āĻŽā§‹āϟ āĻĻā§‚āϰāĻ¤ā§āĻŦ/āĻŦ⧇āĻ—
4.āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻ•āĻžāĻ°ā§āϝāĻ•āϰ⧀ āĻ—āϤāĻŋāĻŦ⧇āĻ— = āύ⧌āĻ•āĻžāϰ āĻĒā§āϰāĻ•ā§ƒāϤ āĻ—āϤāĻŋāĻŦ⧇āĻ— + āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ—āϤāĻŋāĻŦ⧇āĻ—āĨ¤
5.āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻ•āĻžāĻ°ā§āϝāĻ•āϰ⧀ āĻ—āϤāĻŋāĻŦ⧇āĻ— = āύ⧌āĻ•āĻžāϰ āĻĒā§āϰāĻ•ā§ƒāϤ āĻ—āϤāĻŋāĻŦ⧇āĻ— - āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ—āϤāĻŋāĻŦ⧇āĻ—
📷āϏāϰāϞ āϏ⧁āĻĻ📷
āϝāĻĻāĻŋ āφāϏāϞ=P, āϏāĻŽāϝāĻŧ=T, āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ=R, āϏ⧁āĻĻ-āφāϏāϞ=A āĻšāϝāĻŧ, āϤāĻžāĻšāϞ⧇
1.āϏ⧁āĻĻ⧇āϰ āĻĒāϰāĻŋāĻŽāĻžāĻŖ= PRT/100
2.āφāϏāϞ= 100×āϏ⧁āĻĻ-āφāϏāϞ(A)/100+TR
📷📷āύ⧌āĻ•āĻžāϰ āĻ—āϤāĻŋ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āϘāĻ¨ā§āϟāĻžāϝāĻŧ 10 āĻ•āĻŋ.āĻŽāĻŋ. āĻāĻŦāĻ‚ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ 2 āĻ•āĻŋ.āĻŽāĻŋ.āĨ¤ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻŦ⧇āĻ— āĻ•āϤ?
★āĻŸā§‡āĻ•āύāĻŋāĻ•-
āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻŦ⧇āĻ— = (āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— - āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ—) /2
= (10 - 2)/2=
= 4 āĻ•āĻŋ.āĻŽāĻŋ.
📷āĻāĻ•āϟāĻŋ āύ⧌āĻ•āĻž āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āϘāĻ¨ā§āϟāĻžāϝāĻŧ 8 āĻ•āĻŋ.āĻŽāĻŋ.āĻāĻŦāĻ‚ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āϘāĻ¨ā§āϟāĻžāϝāĻŧ 4 āĻ•āĻŋ.āĻŽāĻŋ.
āϝāĻžāϝāĻŧāĨ¤ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— āĻ•āϤ?
★ āĻŸā§‡āĻ•āύāĻŋāĻ•-
āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— = (āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ—+āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ—)/2
= (8 + 4)/2
=6 āĻ•āĻŋ.āĻŽāĻŋ.
📷āύ⧌āĻ•āĻž āĻ“ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻŦ⧇āĻ— āϘāĻ¨ā§āϟāĻžāϝāĻŧ āϝāĻĨāĻžāĻ•ā§āϰāĻŽā§‡ 10 āĻ•āĻŋ.āĻŽāĻŋ. āĻ“ 5 āĻ•āĻŋ.āĻŽāĻŋ.āĨ¤ āύāĻĻā§€āĻĒāĻĨ⧇ 45 āĻ•āĻŋ.āĻŽāĻŋ. āĻĒāĻĨ āĻāĻ•āĻŦāĻžāϰ āĻ—āĻŋāϝāĻŧ⧇ āĻĢāĻŋāϰ⧇ āφāϏāϤ⧇ āĻ•āϤ āϏāĻŽāϝāĻŧ āϞāĻžāĻ—āĻŦ⧇?
āĻŸā§‡āĻ•āύāĻŋāĻ•-
★āĻŽāĻžā§‡āϟ āϏāĻŽāϝāĻŧ = [(āĻŽāĻžā§‡āϟ āĻĻā§‚āϰāĻ¤ā§āĻŦ/ āĻ…āύ⧁āϕ⧂āϞ⧇ āĻŦ⧇āĻ—) + (āĻŽāĻžā§‡āϟ āĻĻā§‚āϰāĻ¤ā§āĻŦ/āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āĻŦ⧇āĻ—)]
āωāĻ¤ā§āϤāϰ:āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰāĻŦ⧇āĻ— = (10+5) = 15 āĻ•āĻŋ.āĻŽāĻŋ.
āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— = (10-5) = 5āĻ•āĻŋ.āĻŽāĻŋ.
[(45/15) +(45/5)]
= 3+9
=12 āϘāĻ¨ā§āϟāĻž
📷★āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āĻ•ā§āϰāĻŽāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϝ⧋āĻ—āĻĢāϞ-
(āϝāĻ–āύ āϏāĻ‚āĻ–ā§āϝāĻžāϟāĻŋ1 āĻĨ⧇āϕ⧇ āĻļ⧁āϰ⧁)1+2+3+4+......+n āĻšāϞ⧇ āĻāϰ⧂āĻĒ āϧāĻžāϰāĻžāϰ āϏāĻŽāĻˇā§āϟāĻŋ= [n(n+1)/2]
n=āĻļ⧇āώ āϏāĻ‚āĻ–ā§āϝāĻž āĻŦāĻž āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻž s=āϝ⧋āĻ—āĻĢāϞ
📷 āĻĒā§āϰāĻļā§āύāσ 1+2+3+....+100 =?
📷 āϏāĻŽāĻžāϧāĻžāύāσ[n(n+1)/2]
= [100(100+1)/2]
= 5050
📷★āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āĻŦāĻ°ā§āĻ— āϝ⧋āĻ— āĻĒāĻĻā§āϧāϤāĻŋāϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇,-
āĻĒā§āϰāĻĨāĻŽ n āĻĒāĻĻ⧇āϰ āĻŦāĻ°ā§āϗ⧇āϰ āϏāĻŽāĻˇā§āϟāĻŋ
S= [n(n+1)2n+1)/6]
(āϝāĻ–āύ 1² + 2²+ 3² + 4²........ +n²)
📷āĻĒā§āϰāĻļā§āύāσ(1² + 3²+ 5² + ....... +31²) āϏāĻŽāĻžāύ āĻ•āϤ?
📷āϏāĻŽāĻžāϧāĻžāύāσ S=[n(n+1)2n+1)/6]
= [31(31+1)2×31+1)/6]
=31
📷★āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āϘāύāϝ⧋āĻ— āĻĒāĻĻā§āϧāϤāĻŋāϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇-
āĻĒā§āϰāĻĨāĻŽ n āĻĒāĻĻ⧇āϰ āϘāύ⧇āϰ āϏāĻŽāĻˇā§āϟāĻŋ S= [n(n+1)/2]2
(āϝāĻ–āύ 1Âŗ+2Âŗ+3Âŗ+.............+nÂŗ)
📷āĻĒā§āϰāĻļā§āύāσ1Âŗ+2Âŗ+3Âŗ+4Âŗ+â€Ļâ€Ļâ€Ļâ€Ļ+10Âŗ=?
📷āϏāĻŽāĻžāϧāĻžāύāσ [n(n+1)/2]2
= [10(10+1)/2]2
= 3025
📷★āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻž āĻ“ āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϏāĻŽāĻˇā§āϟāĻŋ āύāĻŋāĻ°ā§āύāϝāĻŧ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āσ
āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻž N= [(āĻļ⧇āώ āĻĒāĻĻ â€“ āĻĒā§āϰāĻĨāĻŽ āĻĒāĻĻ)/āĻĒā§āϰāϤāĻŋ āĻĒāĻĻ⧇ āĻŦ⧃āĻĻā§āϧāĻŋ] +1
📷āĻĒā§āϰāĻļā§āύāσ5+10+15+â€Ļâ€Ļâ€Ļâ€Ļ+50=?
📷āϏāĻŽāĻžāϧāĻžāύāσ āĻĒāĻĻāϏāĻ‚āĻ–ā§āϝāĻž = [(āĻļ⧇āώ āĻĒāĻĻ â€“ āĻĒā§āϰāĻĨāĻŽāĻĒāĻĻ)/āĻĒā§āϰāϤāĻŋ āĻĒāĻĻ⧇ āĻŦ⧃āĻĻā§āϧāĻŋ]+1
= [(50 – 5)/5] + 1
=10
āϏ⧁āϤāϰāĻžāĻ‚ āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϏāĻŽāĻˇā§āϟāĻŋ
= [(5 + 50)/2] ×10
= 275
📷★ n āϤāĻŽ āĻĒāĻĻ=a + (n-1)d
āĻāĻ–āĻžāύ⧇, n =āĻĒāĻĻāϏāĻ‚āĻ–ā§āϝāĻž, a = 1āĻŽ āĻĒāĻĻ, d= āϏāĻžāϧāĻžāϰāĻŖ āĻ…āĻ¨ā§āϤāϰ
📷āĻĒā§āϰāĻļā§āύāσ 5+8+11+14+.......āϧāĻžāϰāĻžāϟāĻŋāϰ āϕ⧋āύ āĻĒāĻĻ 302?
📷 āϏāĻŽāĻžāϧāĻžāύāσ āϧāϰāĻŋ, n āϤāĻŽ āĻĒāĻĻ =302
āĻŦāĻž, a + (n-1)d=302
āĻŦāĻž, 5+(n-1)3 =302
āĻŦāĻž, 3n=300
āĻŦāĻž, n=100
📷★6)āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āĻ•ā§āϰāĻŽāĻŋāĻ• āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϝ⧋āĻ—āĻĢāϞ-S=M² āĻāĻ–āĻžāύ⧇,M=āĻŽāĻ§ā§āϝ⧇āĻŽāĻž=(1āĻŽ āϏāĻ‚āĻ–ā§āϝāĻž+āĻļ⧇āώ āϏāĻ‚āĻ–ā§āϝāĻž)/2
📷āĻĒā§āϰāĻļā§āύāσ1+3+5+.......+19=āĻ•āϤ?
📷 āϏāĻŽāĻžāϧāĻžāύāσ S=M²
={(1+19)/2}²
=(20/2)²
=100
📷📷1. āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž + āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž = āĻœā§‹āĻĄāĻŧ
āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 2 + 6 = 8.
📷2. āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž + āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž =
āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 6 + 7 = 13.
📷3. āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž + āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž =
āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 3 + 5 = 8.
📷4. āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž × āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž = āĻœā§‹āĻĄāĻŧ
āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 6 × 8 = 48.
📷5.āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž × āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž = āĻœā§‹āĻĄāĻŧ
āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 6 × 7 = 42
📷6.āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž × āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž =
āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 3 × 9 = 27

21/04/2025
āψāĻĻ⧇āϰ āύāĻžāĻŽāĻžāĻœā§‡āϰ āύāĻŋ⧟āĻŽāĻžāĻŦāϞāĻŋ â™Ĩī¸
30/03/2025

āψāĻĻ⧇āϰ āύāĻžāĻŽāĻžāĻœā§‡āϰ āύāĻŋ⧟āĻŽāĻžāĻŦāϞāĻŋ â™Ĩī¸

āĻĻāĻžāĻĻāĻžāĻŦāĻžāĻŦ⧁āϰāĻž āĻšāĻ āĻžā§Ž ā§Ēā§Ž āϘāĻ¨ā§āϟāĻžāϰ āĻŽāĻ§ā§āϝ⧇ āĻāϤ āωāĻ¤ā§āϤ⧇āϜāĻŋāϤ āĻšāĻŦāĻžāϰ āĻ•āĻžāϰāύāϏāĻŽā§‚āĻš:đŸŸŖ āϜāĻžāϤāĻŋāϏāĻ‚āĻ˜ā§‡āϰ āĻŦāĻ°ā§āϤāĻŽāĻžāύ āĻŽāĻšāĻžāϏāϚāĻŋāĻŦ āφāĻ¨ā§āϤ⧋āύāĻŋāĻ“ āϗ⧁āϤ⧇āϰ⧇āϏ (⧝āϤāĻŽ) āϚāĻžāϰ āĻĻāĻŋāύ⧇āϰ āϏ...
14/03/2025

āĻĻāĻžāĻĻāĻžāĻŦāĻžāĻŦ⧁āϰāĻž āĻšāĻ āĻžā§Ž ā§Ēā§Ž āϘāĻ¨ā§āϟāĻžāϰ āĻŽāĻ§ā§āϝ⧇ āĻāϤ āωāĻ¤ā§āϤ⧇āϜāĻŋāϤ āĻšāĻŦāĻžāϰ āĻ•āĻžāϰāύāϏāĻŽā§‚āĻš:

đŸŸŖ āϜāĻžāϤāĻŋāϏāĻ‚āĻ˜ā§‡āϰ āĻŦāĻ°ā§āϤāĻŽāĻžāύ āĻŽāĻšāĻžāϏāϚāĻŋāĻŦ āφāĻ¨ā§āϤ⧋āύāĻŋāĻ“ āϗ⧁āϤ⧇āϰ⧇āϏ (⧝āϤāĻŽ) āϚāĻžāϰ āĻĻāĻŋāύ⧇āϰ āϏāĻĢāϰ⧇ āĻŦāĻžāĻ‚āϞāĻžāĻĻ⧇āĻļ⧇ āφāϏāϛ⧇āύāĨ¤

đŸŸŖ ā§§ āϞāĻ•ā§āώ āϰ⧋āĻšāĻŋāĻ™ā§āĻ—āĻžāϰ āϏāĻžāĻĨ⧇ āĻĒā§āϰāϧāĻžāύ āωāĻĒāĻĻ⧇āĻˇā§āϟāĻž Dr. Yunus & āφāĻ¨ā§āϤ⧋āύāĻŋāĻ“ āϗ⧁āϤ⧇āϰ⧇āϏ āχāĻĢāϤāĻžāϰ āĻŽāĻžāĻšāĻĢāĻŋāϞ⧇ āϝ⧋āĻ— āĻĻāĻŋā§Ÿā§‡ āφāĻŦāĻžāϰ⧋ āϰ⧋āĻšāĻŋāĻ™ā§āĻ—āĻž āϏāĻŽāĻ¸ā§āϝāĻžāϕ⧇ āĻŦāĻŋāĻļā§āĻŦ āĻŽāĻžā§āĻšā§‡ āϤ⧁āϞ⧇ āϧāϰāĻž āĻšāĻŦ⧇āĨ¤ āĻāϰāĻĒāϰ⧇āχ āĻšā§€āύ āϏāĻĢāϰāĨ¤

đŸŸŖ If all goes according to plan, Yunus will visit China on March 26. He is scheduled to meet Chinese President Xi Jinping on March 28.

đŸŸŖ āĻšā§€āύ⧇āϰ āϏāĻžāĻĨ⧇ āĻ…āĻ¨ā§āϤāϤ ā§Ž āϟāĻŋ āĻĻā§āĻŦāĻŋāĻĒāĻžāĻ•ā§āώāĻŋāĻ• āϚ⧁āĻ•ā§āϤāĻŋāϰ āϏāĻŽā§āĻ­āĻžāĻŦāύāĻž āĻ°ā§Ÿā§‡āϛ⧇āĨ¤ āϤāĻžāϰ āĻŽāĻ§ā§āϝ⧇ āĻ…āĻ¨ā§āϤāĻ°ā§āϭ⧁āĻ•ā§āϤ āĻ°ā§Ÿā§‡āϛ⧇

"Beijing has transferred technology to Bangladesh Ordnance Factories and Bangladesh Machine Tools Factory Ltd for small and medium-sized weapons such as rifles, rocket launchers, manpads, light utility vehicles, etc, which helps to achieve the goal of building a domestic defence industrial base"

đŸŸŖ āφāϰāĻžāĻ•āĻžāύ āφāĻ°ā§āĻŽāĻŋāϰ āϏāĻžāĻĨ⧇ āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āύ āĻ˛ā§‡ā§ŸāĻžāϰ⧇ āϝ⧋āĻ—āĻžāϝ⧋āĻ— āĻ•āϰ⧇āϛ⧇ āĻŦāĻžāĻ‚āϞāĻžāĻĻ⧇āĻļāĨ¤

đŸŸŖ āϰ⧋āĻšāĻŋāĻ™ā§āĻ—āĻž āϏāĻŽāĻ¸ā§āϝāĻž āĻšāĻžāϤ⧇ āύāĻŋā§Ÿā§‡āϛ⧇ āĻĒā§āϰāϧāĻžāύ āωāĻĒāĻĻ⧇āĻˇā§āϟāĻžāϰ āϰāĻšāĻŋāĻ™ā§āĻ—āĻž āϏāĻŽāĻ¸ā§āϝāĻž āĻ“ āĻ…āĻ—ā§āϰāĻžāϧāĻŋāĻ•āĻžāϰāĻĒā§āϰāĻžāĻĒā§āϤ āĻŦāĻŋāώ⧟āĻžāĻŦāϞ⧀ āϏāĻ‚āĻ•ā§āϰāĻžāĻ¨ā§āϤ āĻšāĻžāχ āϰāĻŋāĻĒā§āϰ⧇āĻœā§‡āĻ¨ā§āĻŸā§‡āϟāĻŋāĻ­ (āωāĻĒāĻĻ⧇āĻˇā§āϟāĻžāϰ āĻĒāĻĻāĻŽāĻ°ā§āϝāĻžāĻĻāĻž) āϝāĻŋāύāĻŋ āĻ…āĻ¤ā§āϝāĻ¨ā§āϤ āĻĻāĻ•ā§āώ āĻāĻ•āϜāύ āĻŽāĻžāύ⧁āώāĨ¤ āφāĻŽā§‡āϰāĻŋāĻ•āĻžāϰ āύāĻžāĻ—āϰāĻŋāĻ•āĻ¤ā§āĻŦ āĻĒāĻžāĻ“ā§ŸāĻžāϰ āϏ⧁āϝ⧋āĻ— āĻĒā§‡ā§Ÿā§‡āĻ“ āϤāĻŋāύāĻŋ āĻ¨ā§‡ā§ŸāύāĻŋāĨ¤

đŸŸŖ āĻ¸ā§āϟāĻžāϰāϞāĻŋāĻ‚āĻ• āĻāϰ ā§Ž āϟāĻŋ āĻ¸ā§āĻŸā§‡āĻļāύ āĻŦāĻžāĻ‚āϞāĻžāĻĻ⧇āĻļ⧇ āĻ¸ā§āĻĨāĻžāĻĒāύ āĻšāĻŦ⧇āĨ¤ āχāϤ⧋āĻŽāĻ§ā§āϝ⧇ āφāύ⧁āĻˇā§āĻ āĻžāύāĻŋāĻ• āϏāĻžāĻ•ā§āώāϰ āĻšā§Ÿā§‡ āϗ⧇āϛ⧇āĨ¤

đŸŸŖ āϏāĻŽā§āĻĻā§āϰ āĻŦāĻžāĻŖāĻŋāĻœā§āϝ⧇ āĻŦāĻžāĻ‚āϞāĻžāĻĻ⧇āĻļ āĻĒā§‚āĻ°ā§āĻŦ⧇āϰ āϝ⧇āϕ⧋āύ⧋ āϏāĻŽā§Ÿā§‡āϰ āĻšā§‡ā§Ÿā§‡ āĻŦ⧇āĻļāĻŋ āϞāĻžāϭ⧇ āĻŦā§āϝāĻŦāϏāĻž āĻ•āϰāϤ⧇āϛ⧇āĨ¤


đŸŸŖ āχāωāϰ⧋āĻĒ⧇āϰ āĻŦ⧇āĻļ āĻ•āĻŋāϛ⧁ āĻĻ⧇āĻļ⧇āϰ āĻĻā§‚āϤāĻžāĻŦāĻžāϏ āĻŦāĻžāĻ‚āϞāĻžāĻĻ⧇āĻļ āĻŦāĻž āĻ­āĻžāϰāϤ⧇āϰ āĻŦāĻžāχāϰ⧇ āĻ¸ā§āĻĨāĻžāĻ¨ā§āϤāϰ⧇āϰ āϏāĻŋāĻĻā§āϧāĻžāĻ¨ā§āϤ āύāĻŋ⧟āϛ⧇āĨ¤

đŸŸŖ Bangladesh Receives $26.9B in Remittance in 2024 | Remittance hit all-time high in 2024. (02 January ,2025; The Daily Star]

āφāϰāĻ“ āĻāĻ•āϟāĻŋ āϏāĻĢāϞāϤāĻžāϰ āĻ—āĻ˛ā§āĻĒāĨ¤ āχāϏāϰāĻžāϤ āϜāĻžāĻšāĻžāύ āĻŦāĻŦāĻŋ, āĻĒāϰāĻŋāĻļā§āϰāĻŽ āĻ•āĻ–āύ⧋ āĻŦ⧃āĻĨāĻž āϝāĻžā§Ÿ āύāĻžāĨ¤ āĻŽā§‡āĻĄāĻŋāĻ•ā§āϝāĻžāϞ⧇ āϖ⧁āĻŦ āĻ•ā§āϞ⧋āϜ āĻ›āĻŋāϞ āĻ•āĻŋāĻ¨ā§āϤ⧁ āφāϏ⧇ āύāĻŋāĨ¤ āĻ…āĻŦāĻļ⧇āώ⧇ āĻĄā§‡āĻ¨ā§āϟāĻžāϞ ...
03/03/2025

āφāϰāĻ“ āĻāĻ•āϟāĻŋ āϏāĻĢāϞāϤāĻžāϰ āĻ—āĻ˛ā§āĻĒāĨ¤ āχāϏāϰāĻžāϤ āϜāĻžāĻšāĻžāύ āĻŦāĻŦāĻŋ, āĻĒāϰāĻŋāĻļā§āϰāĻŽ āĻ•āĻ–āύ⧋ āĻŦ⧃āĻĨāĻž āϝāĻžā§Ÿ āύāĻžāĨ¤ āĻŽā§‡āĻĄāĻŋāĻ•ā§āϝāĻžāϞ⧇ āϖ⧁āĻŦ āĻ•ā§āϞ⧋āϜ āĻ›āĻŋāϞ āĻ•āĻŋāĻ¨ā§āϤ⧁ āφāϏ⧇ āύāĻŋāĨ¤ āĻ…āĻŦāĻļ⧇āώ⧇ āĻĄā§‡āĻ¨ā§āϟāĻžāϞ āĻ­āĻ°ā§āϤāĻŋ āĻĒāϰ⧀āĻ•ā§āώāĻžā§Ÿ ā§§ā§Ģā§Ž āϤāĻŽ āĻšā§Ÿā§‡ āϏ⧋āĻšāϰāĻžāĻ“ā§ŸāĻžāĻ°ā§āĻĻā§€ āĻŽā§‡āĻĄāĻŋāϕ⧇āϞ āĻ•āϞ⧇āĻœā§‡āϰ āĻĄā§‡āĻ¨ā§āϟāĻžāϞ āχāωāύāĻŋāĻŸā§‡ āϚāĻžāĻ¨ā§āϏ āĻĒā§‡ā§Ÿā§‡āϛ⧇āĨ¤ āϤāĻžāϰ āĻĒāϰāĻŦāĻ°ā§āϤ⧀ āĻœā§€āĻŦāύ⧇āϰ āϏāĻ°ā§āĻŦā§‹āĻšā§āϚ āϏāĻĢāϞāϤāĻž āĻ•āĻžāĻŽāύāĻž āĻ•āϰāĻ›āĻŋāĨ¤

Hey, future dentistđŸŠēđŸ”Ĩ Israt Jahan Boby.
Wish you a good Life.

āĻĒā§āϰāϤāĻŋāĻĻāĻŋāύ⧇āϰ āĻšāĻžāĻĻāĻŋāϏ āĻĒāĻ°ā§āĻŦ-ā§§āφāϜāϕ⧇āϰ āĻ†ā§ŸāĻžāϤ/āĻšāĻžāĻĻā§€āϏ"āφāĻŦā§‚ āϏāĻžāψāĻĻ āφāĻ˛â€“āϖ⧁āĻĻāϰ⧀ āϰāĻž. āĻĨ⧇āϕ⧇ āĻŦāĻ°ā§āĻŖāĻŋāϤ, āϰāĻžāϏ⧂āϞ⧁āĻ˛ā§āϞāĻžāĻš āϏāĻžāĻ˛ā§āϞāĻžāĻ˛ā§āϞāĻžāĻšā§ āφāϞāĻžāχāĻšāĻŋ āĻ“ā§ŸāĻžāϏāĻžāĻ˛ā§āϞāĻžāĻŽ āĻŦāϞ...
02/03/2025

āĻĒā§āϰāϤāĻŋāĻĻāĻŋāύ⧇āϰ āĻšāĻžāĻĻāĻŋāϏ āĻĒāĻ°ā§āĻŦ-ā§§

āφāϜāϕ⧇āϰ āĻ†ā§ŸāĻžāϤ/āĻšāĻžāĻĻā§€āϏ

"āφāĻŦā§‚ āϏāĻžāψāĻĻ āφāĻ˛â€“āϖ⧁āĻĻāϰ⧀ āϰāĻž. āĻĨ⧇āϕ⧇ āĻŦāĻ°ā§āĻŖāĻŋāϤ, āϰāĻžāϏ⧂āϞ⧁āĻ˛ā§āϞāĻžāĻš āϏāĻžāĻ˛ā§āϞāĻžāĻ˛ā§āϞāĻžāĻšā§ āφāϞāĻžāχāĻšāĻŋ āĻ“ā§ŸāĻžāϏāĻžāĻ˛ā§āϞāĻžāĻŽ āĻŦāϞ⧇āϛ⧇āύ,

Ų…ŲŽŲ†Ų’ ŲƒŲŽØ§Ų†ŲŽ Ų„ŲŽŲ‡Ų ØĢŲŽŲ„Ø§ŲŽØĢŲ Ø¨ŲŽŲ†ŲŽØ§ØĒŲ ØŖŲŽŲˆŲ’ ØĢŲŽŲ„Ø§ŲŽØĢŲ ØŖŲŽØŽŲŽŲˆŲŽØ§ØĒŲ ØŖŲŽŲˆŲ’ Ø§Ø¨Ų’Ų†ŲŽØĒŲŽØ§Ų†Ų ØŖŲŽŲˆŲ’ ØŖŲØŽŲ’ØĒŲŽØ§Ų†Ų ŲŲŽØŖŲŽØ­Ų’ØŗŲŽŲ†ŲŽ ØĩŲØ­Ų’Ø¨ŲŽØĒŲŽŲ‡ŲŲ†Ų‘ŲŽ ŲˆŲŽØ§ØĒŲ‘ŲŽŲ‚ŲŽŲ‰ Ø§Ų„Ų„Ų‘ŲŽŲ‡ŲŽ ŲŲŲŠŲ‡ŲŲ†Ų‘ŲŽ ŲŲŽŲ„ŲŽŲ‡Ų Ø§Ų„ØŦŲŽŲ†Ų‘ŲŽØŠŲ

āϝāĻžāϰ āϤāĻŋāύāϟāĻŋ āĻŽā§‡ā§Ÿā§‡ āĻ…āĻĨāĻŦāĻž āϤāĻŋāύāϟāĻŋ āĻŦā§‹āύ āφāϛ⧇, āĻ•āĻŋāĻ‚āĻŦāĻž āĻĻā§â€™āϟāĻŋ āĻŽā§‡ā§Ÿā§‡ āĻ…āĻĨāĻŦāĻž āĻĻā§â€™āϟāĻŋ āĻŦā§‹āύ āφāϛ⧇āĨ¤ āϏ⧇ āϝāĻĻāĻŋ āϤāĻžāĻĻ⧇āϰ āĻĒā§āϰāϤāĻŋ āĻ­āĻžāϞ āĻŦā§āϝāĻŦāĻšāĻžāϰ āĻ•āϰ⧇ āĻāĻŦāĻ‚ āϤāĻžāĻĻ⧇āϰ (āĻ…āϧāĻŋāĻ•āĻžāϰ) āϏāĻŽā§āĻĒāĻ°ā§āϕ⧇ āφāĻ˛ā§āϞāĻžāĻšā§â€Œ āϤāĻžâ€˜āφāϞāĻžāϕ⧇ āϭ⧟ āĻ•āϰ⧇ āϤāĻŦ⧇ āϤāĻžāϰ āϜāĻ¨ā§āϝ āϜāĻžāĻ¨ā§āύāĻžāϤ āύāĻŋāĻ°ā§āϧāĻžāϰāĻŋāϤ āφāϛ⧇āĨ¤

āϜāĻžāĻŽā§‡ āφāϤ-āϤāĻŋāϰāĻŽāĻŋāϝ⧀, āĻšāĻžāĻĻā§€āϏ ⧧⧝⧧ā§Ŧ (āφāĻšāĻŽāĻžāĻĻ āĻļāĻžāϕ⧇āϰ āϤāĻžāĻšāϕ⧀āĻ•āĻ•ā§ƒāϤ)āĨ¤

āĻĻ⧇āϖ⧇ āύāĻžāĻ“ āϏāĻ°ā§āĻŦāύāĻŋāĻŽā§āύ āĻ•āϤ GPA āύāĻŋā§Ÿā§‡ āϰāĻžāĻŦāĻŋāϤ⧇ āĻĒā§āϰāĻĨāĻŽ āĻĒāĻ°ā§āϝāĻžā§Ÿā§‡ āĻšā§‚ā§œāĻžāĻ¨ā§āϤ āφāĻŦ⧇āĻĻāύ⧇āϰ āϜāĻ¨ā§āϝ āĻŽāύ⧋āύ⧀āϤ āĻšā§Ÿā§‡āϛ⧇ !👉 ‘āĻâ€™ āχāωāύāĻŋāĻŸā§‡ āĻŦāĻŋāĻœā§āĻžāĻžāύ ā§Ē.ā§Ŧā§­, āĻŽāĻžāύāĻŦāĻŋāĻ•...
15/02/2025

āĻĻ⧇āϖ⧇ āύāĻžāĻ“ āϏāĻ°ā§āĻŦāύāĻŋāĻŽā§āύ āĻ•āϤ GPA āύāĻŋā§Ÿā§‡ āϰāĻžāĻŦāĻŋāϤ⧇ āĻĒā§āϰāĻĨāĻŽ āĻĒāĻ°ā§āϝāĻžā§Ÿā§‡ āĻšā§‚ā§œāĻžāĻ¨ā§āϤ āφāĻŦ⧇āĻĻāύ⧇āϰ āϜāĻ¨ā§āϝ āĻŽāύ⧋āύ⧀āϤ āĻšā§Ÿā§‡āϛ⧇ !
👉 ‘āĻâ€™ āχāωāύāĻŋāĻŸā§‡ āĻŦāĻŋāĻœā§āĻžāĻžāύ ā§Ē.ā§Ŧā§­, āĻŽāĻžāύāĻŦāĻŋāĻ• ā§Ē.ā§Ģā§Ļ āĻāĻŦāĻ‚ āĻŦā§āϝāĻŦāϏāĻžā§Ÿ āĻļāĻŋāĻ•ā§āώāĻž ā§Ē.⧍⧝āĨ¤
👉 ‘āĻŦāĻŋ’ āχāωāύāĻŋāĻŸā§‡ āĻŦāĻŋāĻœā§āĻžāĻžāύ ā§Š.ā§Ģā§Ļ, āĻŽāĻžāύāĻŦāĻŋāĻ• ā§Š.ā§Ļā§Ļ āĻ“ āĻŦā§āϝāĻŦāϏāĻžā§Ÿ āĻļāĻŋāĻ•ā§āώāĻž ā§Š.ā§Ļā§Ļ āĻ…āĻ°ā§āĻĨāĻžā§Ž 'āĻŦāĻŋ' āχāωāύāĻŋāĻŸā§‡āϰ āϏāĻ•āϞ āĻĒā§āϰāĻžāĻĨāĻŽāĻŋāĻ• āφāĻŦ⧇āĻĻāύāĻ•āĻžāϰ⧀ āĻšā§‚ā§œāĻžāĻ¨ā§āϤ āφāĻŦ⧇āĻĻāύ⧇āϰ āϜāĻ¨ā§āϝāχ āύāĻŋāĻ°ā§āĻŦāĻžāϚāĻŋāϤ āĻšā§Ÿā§‡āϛ⧇āύāĨ¤
👉 ‘āϏāĻŋ’ āχāωāύāĻŋāĻŸā§‡ āĻŦāĻŋāĻœā§āĻžāĻžāύ ā§Ē.ā§Ŧ⧝, āĻŽāĻžāύāĻŦāĻŋāĻ• ā§Ģ.ā§Ļā§Ļ āĻāĻŦāĻ‚ āĻŦā§āϝāĻŦāϏāĻžā§Ÿ āĻļāĻŋāĻ•ā§āώāĻž ā§Ģ.ā§Ļā§ĻāĨ¤ #
āϤāĻŋāύāϟāĻŋ āĻĒāĻ°ā§āϝāĻžāϝāĻŧ⧇ āĻšā§‚āĻĄāĻŧāĻžāĻ¨ā§āϤ āφāĻŦ⧇āĻĻāύ āĻ—ā§āϰāĻšāĻŖ āĻ•āϰāĻž āĻšāĻŦ⧇āĨ¤ āϝ⧇ āϕ⧋āύ⧋ āĻĒāĻ°ā§āϝāĻžāϝāĻŧ⧇āϰ āϜāĻ¨ā§āϝ āύāĻŋāĻ°ā§āĻŦāĻžāϚāĻŋāϤ āĻĒā§āϰāĻžāĻ°ā§āĻĨā§€āϕ⧇ āĻ…āĻŦāĻļā§āϝāχ āϏ⧇ āĻĒāĻ°ā§āϝāĻžāϝāĻŧ⧇āϰ āύāĻŋāĻ°ā§āϧāĻžāϰāĻŋāϤ āϏāĻŽāϝāĻŧ⧇āϰ āĻŽāĻ§ā§āϝ⧇ āφāĻŦ⧇āĻĻāύ āϏāĻŽā§āĻĒāĻ¨ā§āύ āĻ•āϰāϤ⧇ āĻšāĻŦ⧇āĨ¤ āĻĒāϰāĻŦāĻ°ā§āϤ⧀āϤ⧇ āφāĻŦ⧇āĻĻāύ⧇āϰ āφāϰ āϕ⧋āύ⧋ āϏ⧁āϝ⧋āĻ— āĻĨāĻžāĻ•āĻŦ⧇ āύāĻžāĨ¤

āĻĸāĻžāĻ•āĻž āĻŦāĻŋāĻļā§āĻŦāĻŦāĻŋāĻĻā§āϝāĻžāĻ˛ā§Ÿā§‡āϰ āĻ– āχāωāύāĻŋāĻŸā§‡āϰ āĻ­āĻ°ā§āϤāĻŋ āĻĒāϰāĻŋāĻ•ā§āώāĻžāϰ āĻĒā§āϰāĻļā§āύ⧇āϰ āϏāĻŽāĻžāϧāĻžāύāĻŽāĻŋāϞāĻŋā§Ÿā§‡ āύāĻžāĻ“ āϤ⧋āĻŽāĻžāϰ āωāĻ¤ā§āϤāϰ....â™ĻāϏ⧋āĻ°ā§āϏ: āωāĻĻā§āĻ­āĻžāϏ
25/01/2025

āĻĸāĻžāĻ•āĻž āĻŦāĻŋāĻļā§āĻŦāĻŦāĻŋāĻĻā§āϝāĻžāĻ˛ā§Ÿā§‡āϰ āĻ– āχāωāύāĻŋāĻŸā§‡āϰ āĻ­āĻ°ā§āϤāĻŋ āĻĒāϰāĻŋāĻ•ā§āώāĻžāϰ āĻĒā§āϰāĻļā§āύ⧇āϰ āϏāĻŽāĻžāϧāĻžāύ

āĻŽāĻŋāϞāĻŋā§Ÿā§‡ āύāĻžāĻ“ āϤ⧋āĻŽāĻžāϰ āωāĻ¤ā§āϤāϰ....

â™ĻāϏ⧋āĻ°ā§āϏ: āωāĻĻā§āĻ­āĻžāϏ

⧍ā§Ģ āĻļ⧇ āϜāĻžāύ⧁⧟āĻžāϰ⧀ āĻĸāĻžāĻ•āĻž āĻŦāĻŋāĻļā§āĻŦāĻŦāĻŋāĻĻā§āϝāĻžāĻ˛ā§Ÿā§‡āϰ āĻ– āχāωāύāĻŋāĻŸā§‡āϰ āĻ­āĻ°ā§āϤāĻŋ āĻĒāϰāĻŋāĻ•ā§āώāĻžāĻ°ā§āĻĨā§€āĻĻ⧇āϰ āϜāĻ¨ā§āϝ āϰāχāϞ āĻ…āύ⧇āĻ• āĻ…āύ⧇āĻ• āĻļ⧁āĻ­ āĻ•āĻžāĻŽāύāĻžāĨ¤ āϝāĻžāϰāĻž āĻ•āĻžāϞāϕ⧇ āĻĒāϰāĻŋāĻ•ā§āώāĻž āĻĻāĻŋāĻŦ⧇...
24/01/2025

⧍ā§Ģ āĻļ⧇ āϜāĻžāύ⧁⧟āĻžāϰ⧀ āĻĸāĻžāĻ•āĻž āĻŦāĻŋāĻļā§āĻŦāĻŦāĻŋāĻĻā§āϝāĻžāĻ˛ā§Ÿā§‡āϰ āĻ– āχāωāύāĻŋāĻŸā§‡āϰ āĻ­āĻ°ā§āϤāĻŋ āĻĒāϰāĻŋāĻ•ā§āώāĻžāĻ°ā§āĻĨā§€āĻĻ⧇āϰ āϜāĻ¨ā§āϝ āϰāχāϞ āĻ…āύ⧇āĻ• āĻ…āύ⧇āĻ• āĻļ⧁āĻ­ āĻ•āĻžāĻŽāύāĻžāĨ¤ āϝāĻžāϰāĻž āĻ•āĻžāϞāϕ⧇ āĻĒāϰāĻŋāĻ•ā§āώāĻž āĻĻāĻŋāĻŦ⧇ āϤāĻžāĻĻ⧇āϰ āϜāĻ¨ā§āϝ āĻ•āĻŋāϛ⧁ āϗ⧁āϰ⧁āĻ¤ā§āĻŦāĻĒā§‚āĻ°ā§āĻŖ āĻĒāϰāĻžāĻŽāĻ°ā§āĻļ āφāĻļāĻž āĻ•āϰāĻŋ āĻļ⧇āώ āĻŽā§‚āĻšā§āĻ°ā§āϤ⧇ āĻ•āĻžāĻœā§‡ āϞāĻžāĻ—āĻŦ⧇āĨ¤

â™Ļ āĻĒā§āĻ°ā§Ÿā§‹āϜāĻ¨ā§€ā§Ÿ āĻ•āĻžāĻ—āϜāĻĒāĻ¤ā§āϰ āύāĻŋāĻŦ⧇āĨ¤
â™Ļ āĻŽāύ⧇ āϰāĻžāĻ–āĻŦ⧇ āĻĒāϰ⧀āĻ•ā§āώāĻžāϰ āĻšāϞ⧇ āĻŽāĻžāĻĨāĻž āĻ āĻžāĻ¨ā§āĻĄāĻž āϰāĻžāĻ–āϤ⧇ āĻĒāĻžāϰāϞ⧇ āϚāĻžāĻ¨ā§āϏ āĻ•āύāĻĢāĻžāĻ°ā§āĻŽ āĻšāĻŦ⧇āĨ¤ āϤāĻžāχ āϝāϤāϏāĻŽā§āĻ­āĻŦ āĻŽāĻžāĻĨāĻž āĻ āĻžāĻ¨ā§āĻĄāĻž āϰ⧇āϖ⧇ āĻĒā§āϰāĻļā§āύ āϗ⧁āϞ⧋ āĻ­āĻžāϞ⧋ āĻ­āĻžāĻŦ⧇ āĻĒā§œā§‡ āĻĒāϰ⧇ āωāĻ¤ā§āϤāϰ āĻ•āϰāĻŦ⧇āĨ¤
â™Ļ āϜāĻŋāϕ⧇ āĻĒā§āϰāĻļā§āύ āϏāĻžāĻŽā§āĻĒā§āϰāϤāĻŋāĻ• āĻĨ⧇āϕ⧇ āĻ•āĻŋāϛ⧁ āĻ•āĻŽāύ āĻĒā§āϰāĻļā§āύ āĻšāϤ⧇ āĻĒāĻžāϰ⧇āĨ¤ āϤāĻžāϰ āϜāĻ¨ā§āϝ āϏāĻŋāϞ⧇āĻ•ā§āĻŸā§‡āĻĄ āĻ•āĻŋāϛ⧁ āϟāĻĒāĻŋāĻ• āĻļ⧇āώ āĻŽā§‚āĻšā§āĻ°ā§āϤ⧇ āĻĻ⧇āϖ⧇ āϝ⧇āϤ⧇ āĻĒāĻžāϰ⧋āĨ¤

đŸŒŋāϏāĻŦāĻžāϰ āϜāĻ¨ā§āϝ āĻļ⧁āĻ­āĻ•āĻžāĻŽāύāĻž āϰāχāϞāĨ¤

āĻļāĻŋāĻ•ā§āώāĻžāĻ–āĻžāϤāϕ⧇ āύāĻœā§€āϰāĻŦāĻŋāĻšā§€āύ āĻ­āĻžāĻŦ⧇ āĻļ⧇āώ āĻ•āϰāĻžāϰ āφāϰ⧇āĻ• āύāĻžāĻŽ āĻĻā§€āĻĒ⧁ āĻŽāύāĻŋāĨ¤āĻļāĻŋāĻ•ā§āώāĻžāĻ°ā§āĻĨā§€āĻĻ⧇āϰ āĻŽāϤāĻžāĻŽāϤ āĻ•āĻŋ?
21/01/2025

āĻļāĻŋāĻ•ā§āώāĻžāĻ–āĻžāϤāϕ⧇ āύāĻœā§€āϰāĻŦāĻŋāĻšā§€āύ āĻ­āĻžāĻŦ⧇ āĻļ⧇āώ āĻ•āϰāĻžāϰ āφāϰ⧇āĻ• āύāĻžāĻŽ āĻĻā§€āĻĒ⧁ āĻŽāύāĻŋāĨ¤
āĻļāĻŋāĻ•ā§āώāĻžāĻ°ā§āĻĨā§€āĻĻ⧇āϰ āĻŽāϤāĻžāĻŽāϤ āĻ•āĻŋ?

Address

Mymensingh

Website

Alerts

Be the first to know and let us send you an email when HTM Learning posts news and promotions. Your email address will not be used for any other purpose, and you can unsubscribe at any time.

Contact The Business

Send a message to HTM Learning:

Share