ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 sin[cot-1{cos(tan-1x)}]=
2 tan(cot-1x) is equal to cot(tan<sup>-1</sup>x) tan x secon x None of these
3 <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 6</i> <i style="text-align: center;">π / 3</i> 0
4 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π / 3</i></span> <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 2</i> <i style="text-align: center;">π</i>
5 16 / 7 6 / 17 7 / 16 None of these
6 The solution set of the equation tan-1x - cot-1x = cos-1(2 - x) is [0, 1] [-1, 1] [1, 3] None of these
7 2 5 7 None of these
8 20 10 0 None of these
9 1 0 3 -3
10
11 tan-1x > cot-1x holds for x &gt; 1 x &lt; 1 x = 1 All values of x
12 1/3 1 3 None of these
13 Cos 2x = sin 4y Cos 4y = cos 2x Cos 3y = sin 4x None of these
14
15 0 1 -1 None of these
16 1 -1 0 None of these
17 x = 3 x = 1/5 x = 0 None of these
18
19 If cos-1p + cos-1q + cos-1r =πthen p2+ q2+ r2+ 2pqr is equal to 3 1 2 -1
20 1 7 4 None of these
21 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 4 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 6 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 3 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>2π</i></span>/ 3
22 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 2 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 3 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 4 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>
23
24 If 2 tan1(cos x) = tan-1(cosec2x), then x is equal to <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 3 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 2 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 6 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>
25 1 -1 0 None of these
26 The value of sin [ arc cos (-1/2)] is
27 tan-1(1/4) + tan-1(2/9) is equal to 1/2 cos<sup>-1</sup>(3/5) 1/2 sin<sup>-1</sup>(3/5) 1/2 tan<sup>-1</sup>(3/5) tan<sup>-1</sup>1/2
28 If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is 8, 15, 17 3, 4, 5 12, 15, 18 5, 12, 13
29 If Cosθ=0, thenθ= ______ n<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 (2n + 1)<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 (2n - 1)<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 (4n + 1)<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2
30 Ifθ= 60° then sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>= 1/2 tan<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>= cot 30° <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>=<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/4 sec<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>= 4
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