MANJIT SAWASI
✓ ORIGINAL PAPER CONTENT
E

BIHAR BOARD (BSEB) 2026

MATHEMATICS (गणित) - ANSWER KEY

1. \(\vec{i} \times \vec{k} = \) 1. \(\vec{i} \times \vec{k} = \)
(A) \(\vec{j}\)
(B) \(-\vec{j}\)
(C) \(\vec{0}\)
(D) \(1\)
सही विकल्प: (B)
2. \(\vec{a} \cdot (\vec{a} \times \vec{a}) = \) 2. \(\vec{a} \cdot (\vec{a} \times \vec{a}) = \)
(A) 1
(B) 0
(C) \(a^3\)
(D) \(3a\)
सही विकल्प: (B)
3. \(|-2\vec{i}-2\vec{j}-\vec{k}| = \) 3. \(|-2\vec{i}-2\vec{j}-\vec{k}| = \)
(A) 3
(B) 9
(C) \(\sqrt{5}\)
(D) 5
सही विकल्प: (A)
1. \(\vec{i} \times \vec{k} = \) 1. \(\vec{i} \times \vec{k} = \)
(A) \(\vec{j}\)
(B) \(-\vec{j}\)
(C) \(\vec{0}\)
(D) \(1\)
[span_0](start_span)
सही विकल्प: (B)[span_0](end_span)
2. \(\vec{a} \cdot (\vec{a} \times \vec{a}) = \) 2. \(\vec{a} \cdot (\vec{a} \times \vec{a}) = \)
(A) 1
(B) 0
(C) \(a^3\)
(D) -1
[span_1](start_span)
सही विकल्प: (B)[span_1](end_span)
3. यदि \(3\vec{i} + \vec{j} - 2\vec{k}\) और \(\vec{i} + \lambda\vec{j} - 3\vec{k}\) परस्पर लम्ब हों, तो \(\lambda = \) 3. If \(3\vec{i} + \vec{j} - 2\vec{k}\) and \(\vec{i} + \lambda\vec{j} - 3\vec{k}\) are perpendicular, then \(\lambda = \)
(A) -3
(B) -6
(C) -9
(D) -1
[span_2](start_span)
सही विकल्प: (C)[span_2](end_span)
8. \(2\vec{j} \cdot (-3\vec{k}) = \) 8. \(2\vec{j} \cdot (-3\vec{k}) = \)
(A) 6
(B) -6
(C) 0
(D) \(-6\vec{i}\)
[span_3](start_span)
सही विकल्प: (C)[span_3](end_span)
11. \(\int_0^1 \frac{x^3 dx}{1+x^8} = \) 11. \(\int_0^1 \frac{x^3 dx}{1+x^8} = \)
(A) \(\pi/2\)
(B) \(\pi/4\)
(C) \(\pi/8\)
(D) \(\pi/32\)
[span_4](start_span)
सही विकल्प: (D) \(\pi/32\)[span_4](end_span)
1. \(\vec{i} \times \vec{k} = \)
(A) \(\vec{j}\)
(B) \(-\vec{j}\)
(C) \(\vec{0}\)
(D) \(1\)
सही विकल्प: (B)
2. \(\vec{a} \cdot (\vec{a} \times \vec{a}) = \)
(A) 1
(B) 0
(C) \(a^3\)
(D) -1
सही विकल्प: (B)
3. \(|-2\vec{i} - 2\vec{j} - \vec{k}| = \)
(A) 3
(B) 9
(C) \(\sqrt{5}\)
(D) 5
सही विकल्प: (A)
4. यदि \(\vec{a} = 2\vec{i} - 3\vec{j} + 5\vec{k}\) और \(\vec{b} = -2\vec{i} + 2\vec{j} + 2\vec{k}\), तो \(\vec{a} \cdot \vec{b} = \)
(A) 0
(B) -4
(C) 4
(D) 2
सही विकल्प: (A)
5. \(\int (e^x + \cos x) dx = \)
(A) \(e^x - \sin x + C\)
(B) \(e^x + \sin x + C\)
(C) \(-e^x + \sin x + C\)
(D) \(e^x + \cos x + C\)
सही विकल्प: (B)
6. \(\int e^x (\sin x + \cos x) dx = \)
(A) \(e^x \cos x + C\)
(B) \(e^x \sin x + C\)
(C) \(-e^x \sin x + C\)
(D) \(e^x (\sin x - \cos x) + C\)
सही विकल्प: (B)
7. \(\int_0^1 x^4 dx = \)
(A) 1/5
(B) 1/4
(C) 5
(D) 0
सही विकल्प: (A)
8. \(2\vec{j} \cdot (-3\vec{k}) = \)
(A) 6
(B) -6
(C) 0
(D) -1
सही विकल्प: (C)
9. तल \(z = 0\) के समांतर एक तल का समीकरण है :
(A) \(x = 3\)
(B) \(y = 3\)
(C) \(z = 3\)
(D) \(x+y+z = 3\)
सही विकल्प: (C)
10. यदि किसी रेखा की दिक्-कोज्याएँ \(l, m, n\) हों, तो :
(A) \(l^2 + m^2 + n^2 = 1\)
(B) \(l^2 + m^2 + n^2 = 0\)
(C) \(l + m + n = 1\)
(D) \(l^2 + m^2 - n^2 = 1\)
सही विकल्प: (A)
11. बिंदु \((4, 3, 7)\) की \(y\)-अक्ष से दूरी है :
(A) \(\sqrt{65}\)
(B) 3
(C) \(\sqrt{74}\)
(D) 4
सही विकल्प: (A)
12. बिंदुओं \((-1, -1, -1)\) और \((1, 1, 1)\) के बीच की दूरी है :
(A) 3
(B) \(2\sqrt{3}\)
(C) \(\sqrt{3}\)
(D) 6
सही विकल्प: (B)
13. यदि रेखा की दिक्-कोज्याएँ \(\frac{3}{\sqrt{61}}, \frac{4}{\sqrt{61}}, x\) हों, तो \(x\) का मान है :
(A) \(\frac{5}{\sqrt{61}}\)
(B) \(\frac{6}{\sqrt{61}}\)
(C) \(\frac{2}{\sqrt{61}}\)
(D) \(\frac{3}{\sqrt{61}}\)
सही विकल्प: (B)
14. \((3\vec{i} - 4\vec{k}) \cdot (2\vec{i} - 3\vec{j} + \vec{k}) = \)
(A) 2
(B) -2
(C) 3
(D) 5
सही विकल्प: (A)
15. \(\frac{d}{dx} (\sin^2 x) = \)
(A) \(2\sin x\)
(B) \(\sin 2x\)
(C) \(\cos^2 x\)
(D) \(2\cos x\)
सही विकल्प: (B)
16. \(\frac{d}{dx} (e^{3x}) = \)
(A) \(e^{3x}\)
(B) \(3e^x\)
(C) \(3e^{3x}\)
(D) \(\frac{1}{3}e^{3x}\)
सही विकल्प: (C)
17. \(\frac{d}{dx} [f(x) + g(x)] = \)
(A) \(f'(x) + g'(x)\)
(B) \(f'(x) - g'(x)\)
(C) \(f'(x) \cdot g'(x)\)
(D) \(f(x) \cdot g(x)\)
सही विकल्प: (A)
18. \(\frac{d}{dx} (2^x) = \)
(A) \(x \cdot 2^{x-1}\)
(B) \(\frac{2^x}{\log 2}\)
(C) \(2^x \log 2\)
(D) \(2^x\)
सही विकल्प: (C)
19. \(\frac{d}{dx} \left(\frac{1}{x+1}\right) = \)
(A) \(\frac{-1}{(x+1)^2}\)
(B) \(\frac{1}{(x+1)^2}\)
(C) \(\log(x+1)\)
(D) \(\frac{-1}{x+1}\)
सही विकल्प: (A)
20. यदि \(x = a\cos\theta, y = a\sin\theta\), तो \(\frac{dy}{dx} = \)
(A) \(\tan\theta\)
(B) \(-\cot\theta\)
(C) \(\cot\theta\)
(D) \(-\tan\theta\)
सही विकल्प: (B)
21. \(\tan^{-1}(-1/\sqrt{3}) = \)
(A) \(\pi/6\)
(B) \(-\pi/3\)
(C) \(\pi/3\)
(D) \(-\pi/6\)
सही विकल्प: (D)
22. \(2\tan^{-1}(1/3) = \)
(A) \(\tan^{-1}(3/2)\)
(B) \(\tan^{-1}(3/4)\)
(C) \(\tan^{-1}(4/3)\)
(D) \(\tan^{-1}(2/3)\)
सही विकल्प: (B)
23. \(x \in R, \cot(\tan^{-1}x + \cot^{-1}x) = \)
(A) 1
(B) 1/2
(C) 0
(D) 1/3
सही विकल्प: (C)
24. \(\sin(\cos^{-1} 3/5) = \)
(A) 3/4
(B) 4/5
(C) 3/5
(D) 5/4
सही विकल्प: (B)
25. \(\tan^{-1}(1) + \cos^{-1}(-1/2) + \sin^{-1}(-1/2) = \)
(A) \(\pi\)
(B) \(2\pi/3\)
(C) \(3\pi/4\)
(D) \(\pi/2\)
सही विकल्प: (C)
26. \(\cos^{-1}(\cos 7\pi/6) = \)
(A) \(7\pi/6\)
(B) \(5\pi/6\)
(C) \(\pi/6\)
(D) \(\pi/3\)
सही विकल्प: (B)
27. यदि \(\begin{vmatrix} x & 2 \\ 18 & x \end{vmatrix} = \begin{vmatrix} 6 & 2 \\ 18 & 6 \end{vmatrix}\), तो \(x = \)
(A) 6
(B) \(\pm 6\)
(C) -6
(D) 0
सही विकल्प: (B)
28. यदि \(A = [1, 2, 3]\), तो उपसमुच्चयों की संख्या:
(A) 3
(B) 6
(C) 8
(D) 9
सही विकल्प: (C)
29. \(f: A \to B\) एक आच्छादक (onto) फलन होगा यदि :
(A) \(f(A) \subset B\)
(B) \(f(A) = B\)
(C) \(B \subset f(A)\)
(D) \(f(A) \neq B\)
सही विकल्प: (B)
30. \(\frac{d}{dx} (\sin x + \cos x) = \)
(A) \(\cos x - \sin x\)
(B) \(\sin x - \cos x\)
(C) \(\cos x + \sin x\)
(D) \(-\sin x - \cos x\)
सही विकल्प: (A)
31. \(\int_0^2 (x^2 + 1) dx = \)
(A) 14/3
(B) 10/3
(C) 13/3
(D) 5
Sahi Vikalp: (A)
32. \(\int_0^{\pi/2} \cos x dx = \)
(A) -1
(B) 1
(C) 0
(D) 2
Sahi Vikalp: (B)
33. \(\int \frac{dx}{x} = \)
(A) \(\log|x| + C\)
(B) \(-\frac{1}{x^2} + C\)
Sahi Vikalp: (A)
34. \(\int \sin x dx = \)
(A) \(\cos x + C\)
(B) \(-\cos x + C\)
Sahi Vikalp: (B)
35. \(\int \cos 6x dx = \)
(A) \(\frac{1}{6}\sin 6x + C\)
(B) \(-\frac{1}{6}\sin 6x + C\)
Sahi Vikalp: (A)
36. \(\int \tan 2x dx = \)
(A) \(\frac{1}{2}\log|\sec 2x| + C\)
(B) \(\log|\sec 2x| + C\)
Sahi Vikalp: (A)
37. \(\int_0^1 \frac{dx}{x^2 + 1} = \)
(A) \(\pi/2\)
(B) \(\pi/4\)
Sahi Vikalp: (B)
38. \(\vec{i} \cdot \vec{j} = \)
(A) 0
(B) 1
(C) \(\vec{k}\)
(D) -\(\vec{k}\)
Sahi Vikalp: (A)
39. \(\vec{k} \times \vec{k} = \)
(A) \(\vec{0}\)
(B) 1
(C) \(\vec{i}\)
(D) \(\vec{j}\)
Sahi Vikalp: (A)
40. \(\log 2 \int dx = \)
(A) \(x \log 2 + C\)
(B) \(\log 2 + C\)
Sahi Vikalp: (A)
41. Avkal samikaran \(\frac{dy}{dx} = \frac{x}{y}\) ka hal hai:
(A) \(x^2 - y^2 = C\)
(B) \(x^2 + y^2 = C\)
Sahi Vikalp: (A)
42. \(\vec{j} \times \vec{i} = \)
(A) \(\vec{k}\)
(B) \(-\vec{k}\)
Sahi Vikalp: (B)
43. Avkal samikaran \(\frac{dy}{dx} + Py = Q\) ka samakalan gunak (I.F.) hai:
(A) \(e^{\int P dx}\)
(B) \(e^{\int Q dx}\)
Sahi Vikalp: (A)
44. \(2\vec{i} \cdot 3\vec{i} = \)
(A) 6
(B) 0
(C) 5
(D) 1
Sahi Vikalp: (A)
45. \(\vec{k} \cdot \vec{i} = \)
(A) 0
(B) 1
Sahi Vikalp: (A)
46. \(x\)-aksh ki dik-kozyayen (direction cosines) hain:
(A) (1, 0, 0)
(B) (0, 1, 0)
Sahi Vikalp: (A)
47. Ek saral rekha ke dik-anupat 1, 3, 5 hain, toh dik-kozyayen hongi:
(A) \(\frac{1}{\sqrt{35}}, \frac{3}{\sqrt{35}}, \frac{5}{\sqrt{35}}\)
Sahi Vikalp: (A)
48. \(\int_0^5 dx = \)
(A) 5
(B) 0
(C) 1
(D) 25
Sahi Vikalp: (A)
49. \(\begin{vmatrix} 1 & 0 \\ 0 & 1 \end{vmatrix} = \)
(A) 1
(B) 0
Sahi Vikalp: (A)
50. Yadi \(A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}\), toh \(A'\) (transpose) hoga:
(A) \(\begin{bmatrix} a & c \\ b & d \end{bmatrix}\)
Sahi Vikalp: (A)
51. \(\sin^{-1} x + \cos^{-1} x = \)
(A) \(\pi/2\)
(B) \(\pi\)
Sahi Vikalp: (A)
52. \(\frac{d}{dx} (\tan x) = \)
(A) \(\sec^2 x\)
(B) \(\sec x\)
Sahi Vikalp: (A)
53. \(\int \sec^2 x dx = \)
(A) \(\tan x + C\)
(B) \(-\tan x + C\)
Sahi Vikalp: (A)
54. \(\frac{d}{dx} (\log x) = \)
(A) \(1/x\)
(B) \(x\)
Sahi Vikalp: (A)
55. \(\int_0^1 x dx = \)
(A) 1/2
(B) 1
Sahi Vikalp: (A)
56. \(\frac{d}{dx} (x^n) = \)
(A) \(nx^{n-1}\)
(B) \(\frac{x^{n+1}}{n+1}\)
Sahi Vikalp: (A)
57. \(\int x^n dx = \)
(A) \(\frac{x^{n+1}}{n+1} + C\)
(B) \(nx^{n-1} + C\)
Sahi Vikalp: (A)
58. \(\vec{a} \cdot \vec{b} = \)
(A) \(\vec{b} \cdot \vec{a}\)
(B) \(-\vec{b} \cdot \vec{a}\)
Sahi Vikalp: (A)
59. \(\vec{a} \times \vec{b} = \)
(A) \(-\vec{b} \times \vec{a}\)
(B) \(\vec{b} \times \vec{a}\)
Sahi Vikalp: (A)
60. \(\frac{d}{dx} (\text{constant}) = \)
(A) 0
(B) 1
Sahi Vikalp: (A)
61. \(\frac{d}{dx} (\sin^{-1} x) = \)
(A) \(\frac{1}{\sqrt{1-x^2}}\)
(B) \(\frac{-1}{\sqrt{1-x^2}}\)
सही विकल्प: (A)
62. \(\frac{d}{dx} (\cos^{-1} x) = \)
(A) \(\frac{-1}{\sqrt{1-x^2}}\)
(B) \(\frac{1}{\sqrt{1-x^2}}\)
सही विकल्प: (A)
63. \(\frac{d}{dx} (\tan^{-1} x) = \)
(A) \(\frac{1}{1+x^2}\)
(B) \(\frac{-1}{1+x^2}\)
सही विकल्प: (A)
64. \(2 \begin{bmatrix} 3 & 4 \\ 5 & x \end{bmatrix} + \begin{bmatrix} 1 & y \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 7 & 0 \\ 10 & 5 \end{bmatrix}\), तो \(x\) और \(y\) का मान है:
(A) \(x=2, y=-8\)
(B) \(x=3, y=8\)
सही विकल्प: (A)
65. यदि \(A = \begin{bmatrix} 1 & 2 \\ 4 & 2 \end{bmatrix}\), तो \(|2A| = \)
(A) \(2|A|\)
(B) \(4|A|\)
सही विकल्प: (B)
66. \(\begin{vmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{vmatrix} = \)
(A) 0
(B) 1
सही विकल्प: (B)
67. \(\cos^{-1} (1/2) + 2\sin^{-1} (1/2) = \)
(A) \(\pi/3\)
(B) \(2\pi/3\)
सही विकल्प: (B)
68. यदि \(x_{i} + y_{j} + z_{k}\) का मापांक है:
(A) \(\sqrt{x^2+y^2+z^2}\)
(B) \(x+y+z\)
सही विकल्प: (A)
69. \(\tan^{-1} 1/2 + \tan^{-1} 1/4 = \)
(A) \(\tan^{-1} 6/7\)
(B) \(\tan^{-1} 1/6\)
सही विकल्प: (A)
70. \(\frac{d}{dx} (\sqrt{x}) = \)
(A) \(\frac{1}{2\sqrt{x}}\)
(B) \(\frac{2}{\sqrt{x}}\)
सही विकल्प: (A)
71. \(\int \frac{dx}{x^2+a^2} = \)
(A) \(\frac{1}{a} \tan^{-1} \frac{x}{a} + C\)
सही विकल्प: (A)
72. \(\vec{a} \cdot \vec{b} = 0 \implies \vec{a} \perp \vec{b}\)
(A) सत्य
(B) असत्य
सही विकल्प: (A)
73. \(|\vec{i}| = \)
(A) 0
(B) 1
सही विकल्प: (B)
74. \(\int \sec x dx = \)
(A) \(\log|\sec x + \tan x| + C\)
सही विकल्प: (A)
75. \(\frac{d}{dx} (\sin 2x) = \)
(A) \(2\cos 2x\)
(B) \(\cos 2x\)
सही विकल्प: (A)
76. \(\frac{d}{dx} (\tan^{-1} x + \cot^{-1} x) = \)
(A) 0
(B) 1
सही विकल्प: (A)
77. \(P(E) = \)
(A) \(\frac{n(E)}{n(S)}\)
(B) \(\frac{n(S)}{n(E)}\)
सही विकल्प: (A)
78. यदि \(P(A) = 1/2, P(B) = 0\), तो \(P(A|B) = \)
(A) 0
(B) अपरिभाषित
सही विकल्प: (B)
79. \(\begin{vmatrix} 7 & 2 \\ 8 & 3 \end{vmatrix} = \)
(A) 5
(B) 21
सही विकल्प: (A)
80. \(\int e^x dx = \)
(A) \(e^x + C\)
(B) \(x e^x + C\)
सही विकल्प: (A)
81. \(\frac{d}{dx} (\log \cos x) = \)
(A) \(-\tan x\)
(B) \(\tan x\)
सही विकल्प: (A)
82. \(\int x^2 e^{x^3} dx = \)
(A) \(\frac{1}{3} e^{x^3} + C\)
सही विकल्प: (A)
83. \(\int e^x (\cot x + \log \sin x) dx = \) 83. \(\int e^x (\cot x + \log \sin x) dx = \)
(A) \(e^x \cot x + C\)
(B) \(e^x \log \sin x + C\)
(C) \(e^x \sin x + C\)
(D) \(e^x \cos x + C\)
सही विकल्प: (B)
84. \(\int \frac{dx}{\sqrt{x}} = \) 84. \(\int \frac{dx}{\sqrt{x}} = \)
(A) \(\sqrt{x} + C\)
(B) \(2\sqrt{x} + C\)
(C) \(\frac{1}{2}\sqrt{x} + C\)
(D) \(2x\sqrt{x} + C\)
सही विकल्प: (B)
85. यदि \(A = \{1, 2\}\), तो इस समुच्चय पर कितनी द्विआधारी संक्रियाएँ परिभाषित हो सकती हैं? 85. If \(A = \{1, 2\}\), how many binary operations can be defined on this set?
(A) 2
(B) 8
(C) 16
(D) 4
सही विकल्प: (C)
86. यदि \(f(x) = 3x - 4\), तो \(f^{-1}(x) = \) 86. If \(f(x) = 3x - 4\), then \(f^{-1}(x) = \)
(A) \(\frac{x+4}{3}\)
(B) \(\frac{x-4}{3}\)
(C) \(3x+4\)
(D) \(\frac{x}{3}+4\)
सही विकल्प: (A)
87. \(P(A \cup B) = \) 87. \(P(A \cup B) = \)
(A) \(P(A) + P(B) - P(A \cap B)\)
(B) \(P(A) + P(B) + P(A \cap B)\)
(C) \(P(A) - P(B)\)
(D) \(P(A) \cdot P(B)\)
सही विकल्प: (A)
88. यदि \(A\) और \(B\) स्वतंत्र घटनाएँ हों, तो \(P(A \cap B) = \) 88. If \(A\) and \(B\) are independent events, then \(P(A \cap B) = \)
(A) \(P(A) + P(B)\)
(B) \(P(A) - P(B)\)
(C) \(P(A) \cdot P(B)\)
(D) \(P(A) / P(B)\)
सही विकल्प: (C)
89. \(\vec{i} \cdot \vec{i} = \) 89. \(\vec{i} \cdot \vec{i} = \)
(A) 0
(B) 1
(C) \(\vec{j}\)
(D) \(\vec{k}\)
सही विकल्प: (B)
90. \(\vec{j} \times \vec{k} = \)
(A) \(\vec{i}\)
(B) \(-\vec{i}\)
सही विकल्प: (A)
91. मूल बिंदु से तल \(2x - 3y + 4z = 6\) की दूरी है : 91. The distance of the plane \(2x - 3y + 4z = 6\) from the origin is :
(A) \(6/\sqrt{29}\)
(B) \(2/\sqrt{29}\)
(C) \(3/\sqrt{29}\)
(D) \(5/\sqrt{29}\)
सही विकल्प: (A)
92. रेखाओं \(\frac{x-2}{1} = \frac{y-3}{-2} = \frac{z+5}{4}\) और \(\frac{x-1}{1} = \frac{y-2}{1} = \frac{z+3}{1}\) के बीच का कोण है : 92. Angle between the lines is :
(A) \(90^\circ\)
(B) \(45^\circ\)
(C) \(0^\circ\)
(D) \(60^\circ\)
सही विकल्प: (A)
93. \((2\vec{i} - 3\vec{j} + 4\vec{k}) \cdot (\vec{i} + 2\vec{j} + \vec{k}) = \) 93. \((2\vec{i} - 3\vec{j} + 4\vec{k}) \cdot (\vec{i} + 2\vec{j} + \vec{k}) = \)
(A) 0
(B) 2
(C) 3
(D) 5
सही विकल्प: (A)
94. \(\vec{i} \times \vec{j} = \) 94. \(\vec{i} \times \vec{j} = \)
(A) \(\vec{k}\)
(B) \(-\vec{k}\)
(C) \(\vec{0}\)
(D) 1
सही विकल्प: (A)
95. \(P(A) + P(A') = \) 95. \(P(A) + P(A') = \)
(A) 0
(B) 1
(C) -1
(D) 0.5
सही विकल्प: (B)
96. \(\int \frac{dx}{x^2 - a^2} = \) 96. \(\int \frac{dx}{x^2 - a^2} = \)
(A) \(\frac{1}{2a} \log|\frac{x-a}{x+a}| + C\)
(B) \(\frac{1}{2a} \log|\frac{x+a}{x-a}| + C\)
सही विकल्प: (A)
97. \(\begin{vmatrix} 2 & 4 \\ 5 & 10 \end{vmatrix} = \) 97. \(\begin{vmatrix} 2 & 4 \\ 5 & 10 \end{vmatrix} = \)
(A) 0
(B) 20
(C) 40
(D) 10
सही विकल्प: (A)
98. \(\int \frac{dx}{x^2 + 16} = \) 98. \(\int \frac{dx}{x^2 + 16} = \)
(A) \(\frac{1}{4} \tan^{-1} \frac{x}{4} + C\)
(B) \(\tan^{-1} \frac{x}{4} + C\)
सही विकल्प: (A)
99. \(\int_0^{\pi/2} \sin x dx = \) 99. \(\int_0^{\pi/2} \sin x dx = \)
(A) 1
(B) 0
(C) -1
(D) \(\pi/2\)
सही विकल्प: (A)
100. \(\vec{j} \cdot \vec{j} = \) 100. \(\vec{j} \cdot \vec{j} = \)
(A) 1
(B) 0
(C) \(\vec{k}\)
(D) \(\vec{i}\)
सही विकल्प: (A)