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Question-40 The angle between the curves and is (A) (B) (C) (D) Answer: (A) Explanation: Solving and , we get […]

Question-39 By dropping a stone in a quiet lake, a wave in the form of circle is generated. The radius

Question-38 The derivative of is (A) (B) (C) (D) Answer: (B) Explanation: Let Differentiating w.r.t. x, we get

Question-37 If the directed line makes an angle 45° and 60° with the X and Y-axes respectively, then the obtuse

Question-36 An ellipse has OB as semi-minor axis, S and S’ are foci and angle SBS’ is a right angle.

Question-35 A population of 1000 bacteria introduced into a nutrient medium grows according to the relation . The maximum size

Question-34 Then _ , (Where ) (A) (B) (C) (D) Answer: (B) Explanation: …(Sum of n odd terms = )

Question-33 For if , then (A) (B) (C) (D) Answer: (C) Explanation: Differentiating w.r.t. , we get ⇒ Again differentiating

Question-32 The feasible region represented by the given constraints is denoted by (A) (B) (C) (D) Answer: (A) Explanation: Feasible

Question-31 If the angle between the line and the plane is such that , then (A) (B) (C) (D) Answer:

Question-30 If the lines and are at right angles, then (A) 143 (B) (C) 137 (D) Answer: (B) Explanation: and

Question-29 If the points A(2 − x, 2, 2), B(2, 2 − y, 2), C(2, 2, 2 − z) and