ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test

Sr. # Questions Answers Choice
1 5 25 3
2
3
4 Two circles are said to be concentric if they have same radius same chord same centre same diameter
5 (1, 3) (-1, -3) (1, -3) (-1, 3)
6 8 4 64
7 0 1 13
8 11 61 1
9 (-6,4) (-3,2) (6,-4) (3, -2)
10 The centre fo the circle x2+ y2+ 12x -10 = 0 is (12, -10) (6, -5) (-12, 10) (-6, 5)
11
12 (g,f) (-g,f) (g,-f) (-g,-f)
13 The parametric equations of a circle are
14
15
16 The equation of the circle wit (-1, 1) and radius 2 is
17
18
19
20 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
21 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>
22 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>
23 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>
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 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
28 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
29 If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is an ellipse a hyperbola a circle a parabola
30 If a plane passes through the vertex of a cone then the intersection is an ellipse a hyperbola a point circle a parabola
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