ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 Sin 90° = ______ -1 0 1 Undefined
2 Cos 0° = ______ -1 0 1 Undefined
3 Cos 60° = ______ 1 2 1/2 3
4 Cosec 60° = ______
5 Tan 30° = _____
6 Sec 30° = ______
7 Cot 45° = ______
8 Sin 45° = ______
9 I quadrant II quadrant III quadrant IV quadrant
10 I quadrant II quadrant III quadrant IV quadrant
11 I quadrant II quadrant III quadrant IV quadrant
12 I quadrant II quadrant III quadrant IV quadrant
13
14 -1 0 1 None of these
15 -1 0 1 None of these
16
17 The equation of the circle with centre (5, -2) and radius 4 is (x-5)<sup>2</sup>+ (y+2)<sup>2</sup>= 16 (x-5)<sup>2</sup>+ (y+2)<sup>2</sup>= 4 (x-5)<sup>2</sup>+ (y-2)<sup>2</sup>= 16 (x-5)<sup>2</sup>+ (y-2)<sup>2</sup>= 4
18 The equation of the circle witch centre (-3, 5) and radius 7 is (x-3)<sup>2</sup>+ (y+5)<sup>2</sup>= 7<sup>2</sup> (x-3)<sup>2</sup>+ (y-5)<sup>2</sup>= 7<sup>2</sup> (x+3)<sup>2</sup>+ (y+5)<sup>2</sup>= 7<sup>2</sup> (x+3)<sup>2</sup>+ (y-5)<sup>2</sup>= 7<sup>2</sup>
19 The equation of the circle with centre origin and radius r is x<sup>2</sup>+ y<sup>2</sup>= 1 x<sup>2</sup>+ y<sup>2</sup>= r<sup>2</sup> x<sup>2</sup>+ y<sup>2</sup>= 0 x<sup>2</sup>- y<sup>2</sup>= r<sup>2</sup>
20 The equation of the circle with centre (-h, -k) and radius r is (x +h)<sup>2</sup>+ (y+k)<sup>2</sup>= r<sup>2</sup> (x +h)<sup>2</sup>+ (y-k)<sup>2</sup>= r<sup>2</sup> (x -h)<sup>2</sup>+ (y+k)<sup>2</sup>= r<sup>2</sup> (x -h)<sup>2</sup>+ (y-k)<sup>2</sup>= r<sup>2</sup>
21
22 0 1 -1 2
23
24 The equation of the circle with centre (h, k) and radius r is (x+ h)<sup>2</sup>+ (y+ k)<sup>2</sup>= r<sup>2</sup> (x+ h)<sup>2</sup>+ (y - k)<sup>2</sup>= r<sup>2</sup> (x - h)<sup>2</sup>+ (y+ k)<sup>2</sup>= r<sup>2</sup> (x - h)<sup>2</sup>+ (y - k)<sup>2</sup>= r<sup>2</sup>
25 The constant distance of all points of the circle from its centre is called the radius of the circle secant of the circle chord of the circle diameter of the circle
26 The fixed point from which all the points of a circle are equidistant is called the chord of the circle centre of the circle diameter of the circle radius of the circle
27
28 If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is an ellipse a hyperbola a circle a parabola
29 I and II quadrants I and III quadrants II and III quadrants II and IV quadrants
30 If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is an ellipse a hyperbola a circle a parabola
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