**41. The derivative of the product of two functions u and v is:
**(A)

(B)

(C)

(D) None of the above

### Click To Show Answer/Hide

**42. The equation of the line that goes parallel to the x-axis and from the origin is:**

(A) x/0 = y/1 = z/0

(B) x/0 = y/0 = z/0

(C) x/1 = y/0 = z/0

(D) x/0 = y/0 = z/1

### Click To Show Answer/Hide

**43. The polar form of is :**

(A) cos π + i sin π

(B) cos π/2 + i sin π/2

(C) cos π – i sin π

(D) cos π – i sin π/2

### Click To Show Answer/Hide

**44. If = then the value of x will be : **

(A) 2

(B) 4

(C) 3

(D) 5

### Click To Show Answer/Hide

**45. On what principle does the dynamo work? **

(A) Electro magnetic induction

(B) Induced current

(C) Induced magnetism

(D) None of the above

### Click To Show Answer/Hide

**46. The maximum value of angle of dip is : **

(A) 0°

(B) 90°

(C) 45°

(D) 60°

### Click To Show Answer/Hide

**47. The eccentricity (e) of an ellipse satisfies which of the following condition? **

(A) e < 0

(B) 0 < e <l

(C) e = 1

(D) e > 1

### Click To Show Answer/Hide

**48. A = {1, 2, 3}, then number of equivalence relations containing (1, 2) will be **

(A) 1

(B) 2

(C) 3

(D) 4

### Click To Show Answer/Hide

**49. If ‘θ’ is angle between the two vectors is and such that , when the value of θ will be **

(A) 0

(B) π/4

(C) π/2

(D) π

### Click To Show Answer/Hide

**50. The value of will be.**

(A) 0

(B) π/2

(C) ½

(D) 1

### Click To Show Answer/Hide

**51. Differentiation of function with respect to x, will be : **

(A) e^{x}

(B) . e^{x}

(C) e^{-x}

(D)

### Click To Show Answer/Hide

**52. , its order and degree will be **

(A) Order 3 Degree 1

(B) Degree 2 Order 3

(C) Order 3 Degree 3

(D) None of the above

### Click To Show Answer/Hide

**53. The value of will be : **

(A)

(B)

(C)

(D)

### Click To Show Answer/Hide

**54. The velocity of sound on rainy days as compared to other days: **

(A) increases

(B) decreases

(C) remains same

(D) none of the above

### Click To Show Answer/Hide

**55. Principal value of will be:**

(A) π/6

(B) π/3

(C) -π/6

(D) -π/3

### Click To Show Answer/Hide

**56. If matrix , then:**

(A) (A + A’) is a symmetric matrix

(B) (A + A’) is a skew symmetric matrix

(C) (A – A’) is a null matrix

(D) (A – A’) is an identity matrix

### Click To Show Answer/Hide

**57. If P(A) = 7/13, P(B) = 9/13 and P(A ∩ B) = 4/13 then the value of P(A/B) will be. **

(A) 4/9

(B) 5/9

(C) 3/9

(D) 2/9

### Click To Show Answer/Hide

**58. The function is**

(A) discontinuous at only one point

(B) discontinuous at exactly two points

(C) discontinuous at exactly three points

(D) none of the above

### Click To Show Answer/Hide

**59. The value of 2 sin 5θ.cosθ will be : **

(A) sin 6θ + cos 4θ

(B) sin 6θ – sin 4θ

(C) sin 6θ + sin 4θ

(D) cos 6θ + cos 4θ

### Click To Show Answer/Hide

**60. If the mass of the bob of a simple pendulum is doubled, then its time period would become :**

(A) Double

(B) Four times

(C) Remains unchanged

(D) Half

### Click To Show Answer/Hide