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 (-6,4) (-3,2) (6,-4) (3, -2)
2 The centre fo the circle x2+ y2+ 12x -10 = 0 is (12, -10) (6, -5) (-12, 10) (-6, 5)
3
4 (g,f) (-g,f) (g,-f) (-g,-f)
5 The parametric equations of a circle are
6
7
8 The equation of the circle wit (-1, 1) and radius 2 is
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10
11
12 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
13 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>
14 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>
15 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>
16 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>
17 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
18 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
19 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
20 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
21 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
22 If a plane passes through the vertex of a cone then the intersection is an ellipse a hyperbola a point circle a parabola
23 If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a parabola circle hyperbola ellipse
24 Conic sections or simply conics are the curves obtained by cutting a right circular cone by a line two lines a plane two planes
25 The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if A = B≠ 0 A≠ B and both are of same sign A≠ B both are of opposite sign Either A = 0 or B =0
26 If the distance of any point on the curve from any of the two lines approaches zero then it is called Axis Directrices Asymptotes None
27 The ellipse and hyperbola are called Concentric conics Central conics Both a b None
28 The directrix of y2 =-4ax is y =-a y = a x = a x = -a
29 A line joining two distinct points on a parabola is called Axis Directrix Chord Tangent
30 For the parabola the line through focus and perpendicular to the directrix is called Tangent Vertex Axis None
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