ECAT Computer Science Entry Test With Answers

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ECAT Computer Science Entry Test

Sr. # Questions Answers Choice
1 The value of cos(cos-1 1/2) is 1/2 √3/2 -1/2 1/√2
2 What is the value of cos-1(1/2)? π/3 π/4 3π/2 π/6
3 sin-1 x = tan<sup>-1</sup> x Cosec<sup> -1</sup> x Cosec x cosec<sup>-1</sup>(1/x)
4 Sin-1(-x)= x -x -sin-1 x cos-1 x
5 sin -1(sin2π/3) = π/2 2π/3 -3π/2 π/3
6 sn (2sin-10.8) 0.56 0.69 -0.16 0.96
7 Sin -1 x= sin(π/2-x) Sin-1 (π/2-x) π/2-cos-1x π/2 + cos-1x
8 sin (sin-1(1/2))= 0 2 ∞ 1/2
9 If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is: an ellipse Circle a hyperbola a parabola
10 If the cone is cut by a plane perpendicular to the axis of the conec, then the section is a: Circle ellipse hyperbola parabola
11 The lines that form the cone are called its: Generation Circular cone nappes conics
12 The surface generated by lines, consists of two parts, called: vertex apex nappes axis
13 A fixed point which lies on the axis of the cone is called its: axis apex plane diameter
14 A cone is generated by all lines through a fixed point and the circumference of a Circle an ellipse a Hyperbola None of these
15 The set of all points in the plane that are equally distant from a fixed point to called a Parabola ellipse Hyperbola Circle
16 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
17 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
18 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
19 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>
20 In the interval 0≤ x ≤ π, the sine is

 Not a function Not defined Infinity Not one-to-one function
21 x = sin-1 3, then the value of sin x is √(3/2) 3 Not possible -1
22 The domain of the function y = sin x , is -π/2≤ x≤ π/2 π/ ≤ x≤ π -2π ≤ x≤ 2π -1 ≤ x≤ 1
23 The principal value of sin-1 (-1/2) π/3 π/4 π/6 -π/6
24 The principal value of sin-1√(3/2) is -π/3 π/3 2π/3 π/2
25 The law of sines can be used to solve oblique triangle when following information is given: Two angles and a side Two sides and an angle opposite one of the given sides Two sides and the angle between two sided Option a and b
26 The law of sines can be used to solve Right angle triangle Isosceles triangle oblique triangle haxagon
27 If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to 150𝜊 20' 132𝜊 35' 101𝜊 25' 160𝜊 50'
28 IfΔABC is right, law of cosine reduce to Law of sine Law of tangent Phthogorous theorem Hero's formula
29 In triangle ABC, in which b=95, c=34, a =52𝜊then the value of a= 18 cm 18.027 cm 20.7 cm 19 cm
30 IfΔABC is right, law of cosine reduce to Law of sine Law of tangent Phthogorous theorem Hero's formula
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