ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 A circle drawn inside a triangle and touching its sides is called ______; Circumcirle Incircle Escribed circle unit circle
2 A circle passing through the vertices of any triangle is called Circumcirle Incircle Escribed circle Unit circle
3 If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______; Elevation Depression Right angle None off these
4 If you are looking a bird in the tree from the ground then the angle formed is called angle of______; Elevation Depression Right angle None of these
5 InΔABC if y = 90° then the Pythagoras theorem is b2 + c2 =a2 a2 + b2 = c2 a2 +c2 = b2 None of these
6 If ΔABC is right triangle then the law of Cosines reduces to The Pythagoras Theorem The law of Sines The law of cosines The law of tangents
7 With usual notations b2 = a2 + c2 -2ac cos is called______; None of these Law of sines Law of consines Law of tangents
8 In a triangle if a > 45°,β > 30° then y cannot be 90° 100° 10° 120°
9 A triangle has ____ elements 3 4 5 6
10 A triangle which is not right angle is called ______ triangle acute Obtuse Right Oblique
11 graph of trigonometric function y = sec x does not meet x - axis y -axis both axis None of these
12 graph of sine function is bounded between lines y± 1 = 0 x± 1 = 0 x± y - 0 None of these
13 Range of y = sec x is -1≤ y≤ 1 y≥ 1 or y≤ -1 y≤ 1or y≥ -1 -∞ < y < +∞
14 Range if y = cos x is -1≤ y≤ 1 -1 < y < 1 -∞ < x < +∞ None of these
15 sin2 π/6 + sin2 π/3 + tan2 π/4 =______; 1 2 3 4
16 tan 294° =______; tan 24° -tan 24° cot 24° -cot 24°
17 cos 6θ + cos 2 θ =_______; -2sin 4θ sin 2θ 2cos4θ cos2θ 2sin4θ cos2θ 2cos4θ sin2θ
18 sin5θ+sin3θ = _______; 2sin 4θ cosθ 2cos 4θ sinθ 2cos 4θ cosθ -2sin 4θ sinθ
19 cos(a +β)-cos(a-β) = _______; 2cosa cosβ 2sina cosβ -25 in a cosβ -2sin a sinβ
20 sin(a + β)+sin(a -β) =_____; 2cosa cosβ 2sina cosβ 2cosa sinβ -2sina sinβ
21 cos 3a =_______; 3sin a - 4sin3 a 4sin a - 3sin3 a 3cos3 a - 4cos a 4cos3a - 3cos a
22 sin 3a = ______; 3sin a - 4sin3a 4sin a -3 sin3 a 3 cos3 a -cosa 4cos3 a - 3cos a
23 2cos2 a/2 =______; 1+sina 1-sina 1+cosa 1-cosa
24 cos2a=______; cos2 a-sin2 a 2cos2 a-1 1-2 sin2 a All of these
25 sin(a-90°)=______; sina cosa -sinθ -cosa
26 tan(3π/2 +θ)=______; tanθ cotθ -tanθ -cotθ
27 cot(3π/2 -θ)=______; tanθ cotθ -tanθ -cotθ
28 cos(3π/2 +θ) = _____; sinθ cosθ -sinθ -cosθ
29 sin(3π/2 -θ)=_______; sinθ cosθ -sinθ -cosθ
30 tan(π-θ)=_____; tanθ cotθ -tanθ -cotθ
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