ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 If sin (πcosθ) = cos (πsinθ), then which of the following is correct?
2 The solution of the equation cos2θ+ sinθ+ 1 = 0 lies in the interval
3 One root of the equation cos x - x + 1/2 = 0 lies in the interval
4 General solution of tan 5θ= cot 2θis
5 The smallest positive root of the equation tan x - x = 0 lies on
6 A finite non-empty set Null set Both a and b None of these
7 The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is 0 1 2 3
8 If sin 6θ+ sin 4θ+ sin 2θ, thenθ=
9 The number of values of x in the interval [0, 5π] satisfying the equation 3 sin2x - 7 sinx + 2 = 0 is 0 5 6 10
10
11
12 cotθ= sin 2θifθ=
13 cotθ= sin 2θifθ=
14
15
16 No solution One real solution More than one real solution None of these
17 If 4 sin2θ=1, then values ofθare
18 30° 45° 60° 75°
19 The general solution of tan 3x = 1 is
20 If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
21 Sec-1x = Cos<sup>-1</sup>1/x cosec<sup>-1</sup>1/x Cos<sup>-1</sup>(-x) Tan<sup>-1</sup>x
22 Sin-1(-x)= Cos<sup>-1</sup>1/x - Sin<sup>-1</sup>X Cot<sup>-1</sup>X None of these
23 Tan-11/x = ______ sin x sec<sup>-1</sup>X cot<sup>-1</sup>X None of these
24 sin-1[-1/2] = ______
25 The number of triplets (x, y, z) satisfying sin-1x +cos-1y + sin-1z = 2π is 0 2 1 Infinite
26 If tan-13 + tan-1x = tan-18, then x= 5 1/5 5/14 14/5
27
28
29 <i style="text-align: center;">π / 3</i> <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 6</i> 0
30 <i style="text-align: center;">π</i> <i style="text-align: center;">π / 2</i> <i style="text-align: center;">π / 3</i> <i style="text-align: center;">π / 4</i>
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