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 The locus of the centre of a circle which touches two given circles externally is: a hyperbola an ellipse a circle a parabola
2 An ellipse slides between two lines at right angles to one another. The locus of its centre is : a parabola an ellipse a circle a hyperbola
3 The eccentricity of ellipse becomes zero, then it takes the form of: a parabols a straight line a circle None of these
4 The lotus of intersection of perpendicular tangents to the parabola y2 = 4ax is: Axis of the parabola Focal chord of the parabos The tangent at vertex of the parabola a directrix of the parabola
5 The eccentricity of parabola is: 1 0 Greater than 1 Less than 1
6 Co-ordinate of a point on the parabola y2 = 8x whose focal distance is 4 are: (2 , 4) (-2 ,-4) (-2, 4) (2,-4)
7 Coordinates of the focus of the parabola x2 - 4x -8y-4=0 are: (0,2) (,0,1) (2,0) (1,2)
8 Which shape of the following objects are approximately parabolic ares? Light reflectors Force Weight of the pendul None of these
9 Latus rectum = 4 x ______________ focal distance of the vertex Chord Focus 1/2
10 Ifᵨ> 1 , then the conic, is: Ellipse Parabola Hyperbola None of these
11 the latus rectum of the parabola x3 = -4ay is: x = a y = -a x = -a y = 0
12 the curve of the parabola y2 = -4ax is symmetric with respect to x -axis y - axis Botha x and y- axis None of thes
13 The point which is closet to the focus of a parabola is: vertex Chord Focus Directix
14 The parabola y2 + 2y + x = 0 lie in _____ quadrant. First Second Third Fourth
15 The axis of the parabola x2 = 4ay is: y = 0 x = 0 x = -a y = a
16 What is the axis of the parabola y2 = 4ax? x = 0 y = 0 x = a y = 0
17 The conic is a parabola, when: ᵨ > 1 ᵨ < 1 ᵨ = 1 ᵨ = 0
18 If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is: 10 5 0 20
19 The distance of point P(x,y) from focus in a parabola
y2 =4ax, is:
 2a a x + a x-a
20 a chord passing through the focus of a parabola is called a: Focal chord Latus rectum Tangent Directrix
21 y=0 of the parabola y2 = 4ax is the equation of directirx Equatio of the tangent Equation of axis equation of latus rectum
22 I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is: x<sup>2</sup> = 4ay y<sup>2</sup> = 4ax y<sup>2</sup> = -4ax x<sup>2</sup> = 4ax
23 A line joining two distinct points on a parabola is called a ______ of the parabola. Chord Tangent Lust rectum directrix
24 If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is: y<sup>2</sup> = -4 ax x<sup>2</sup> = 4ay x<sup>2</sup> = -4ay y<sup>2</sup> = 4ax
25 ᵨ is a variable Positive constant Positive variable Directrix
26 The line through the focus and perpendicular to the directrix is called ______ of the parabola axis focal chord tangent latus rectum
27 The vertex of the equation y2 = 4ax is: (2, -2) (1,1) (0 , 0) (2 , 2)
28 If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is: x<sup>2</sup> = 4y -32 x<sup>2</sup> =8y -32 y<sup>3</sup> = 16 x x2 + 8y =32
29 The point where the axis meets the parabola is called Directrix Foucu Chord Vertix
30 The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is A parabola A circle An ellipse A st. line
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