ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 a ______quantity is one that possesses both magnitude and direction. Scalar Vector Segment None of these
2 If u = xi + yj, then|u| x<sup>2</sup> + y<sup>2</sup> (x<sup>2</sup> +y<sup>2</sup>)<sup>2</sup> x<sup>2</sup>-y<sup>2</sup> √(x<sup>2</sup>+y<sup>2</sup>)
3 The exact value of cos-1 (-1) + cos -1 (1) = π -π π/2 π/3
4 The exact value of cos-1 (0) is π/2 -π/2 3π π-π/6
5 Cos-1 12/13 = tan<sup>-1</sup> 3/5 cot<sup>-1</sup> 13/12 Sec<sup>-1</sup> 13/12 sin<sup>-1</sup> 5/13
6 cos-1(cos x) = x cos x x = 1/x cos<sup>-2</sup> x
7 Cos-1(x)= cos x x tan-1(-x) Sec-1 (1/x)
8 Cos-1 (-x) = -x 1/x tan-1 x π-cos-1 x
9 Ifπ≤x≤2π, then cos-1 (cos x)= cos x -x 1/x -x
10 If cos (2 sin-1 x) = 1/9 , then what is the value of x? 1/3 -2/3 2/3 2/3 , -2/3
11 Cos (cos4π/3)= π/2 π/3 2π/3 -π/3
12 The exact degree value of the function sin-1( -√3/2) is 70<sup>ο</sup> 50<sup>ο</sup> 90<sup>ο</sup> 60<sup>ο</sup>
13 What is the value of cos (cos-1 2) ? √2 1/2 undefine 0
14 The value of cos(cos-1 1/2) is 1/2 √3/2 -1/2 1/√2
15 What is the value of cos-1(1/2)? π/3 π/4 3π/2 π/6
16 sin-1 x = tan<sup>-1</sup> x Cosec<sup> -1</sup> x Cosec x cosec<sup>-1</sup>(1/x)
17 Sin-1(-x)= x -x -sin-1 x cos-1 x
18 sin -1(sin2π/3) = π/2 2π/3 -3π/2 π/3
19 sn (2sin-10.8) 0.56 0.69 -0.16 0.96
20 Sin -1 x= sin(π/2-x) Sin-1 (π/2-x) π/2-cos-1x π/2 + cos-1x
21 sin (sin-1(1/2))= 0 2 ∞ 1/2
22 The principal value of sin-1[-√(√3) /2] is 5π/3 -2π/3 -<img width="9" height="19" src="file:///C:/Users/Softsol/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png" v:shapes="_x0000_i1025">π/3<p class="MsoNormal"><!--[endif]--><o:p></o:p></p> π/3
23 The value of sin-1 24/25 is equal to csc-1 25/24 sec-1 24/25 2 tan-1 4/5 2cos-1 24/25
24 The value of sin-1 5/13 is equal to Cos 5/13 Tan<sup>-1</sup> 5/12 cos<sup>-1</sup>5/12 2 cos<sup>-1 </sup>4/5
25 The Principal value of sin-1 (-1/1/2) <p class="MsoNormal">π/2<o:p></o:p></p> <p class="MsoNormal">-π/2<o:p></o:p></p> <p class="MsoNormal">π<o:p></o:p></p> <p class="MsoNormal">-π<o:p></o:p></p>
26 In the interval 0≤ x ≤ π, the sine is

 Not a function Not defined Infinity Not one-to-one function
27 x = sin-1 3, then the value of sin x is √(3/2) 3 Not possible -1
28 The domain of the function y = sin x , is -π/2≤ x≤ π/2 π/ ≤ x≤ π -2π ≤ x≤ 2π -1 ≤ x≤ 1
29 The principal value of sin-1 (-1/2) π/3 π/4 π/6 -π/6
30 The principal value of sin-1√(3/2) is -π/3 π/3 2π/3 π/2
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