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 Latus rectum = 4 x ______________ focal distance of the vertex Chord Focus 1/2
2 Ifᵨ> 1 , then the conic, is: Ellipse Parabola Hyperbola None of these
3 the latus rectum of the parabola x3 = -4ay is: x = a y = -a x = -a y = 0
4 the curve of the parabola y2 = -4ax is symmetric with respect to x -axis y - axis Botha x and y- axis None of thes
5 The point which is closet to the focus of a parabola is: vertex Chord Focus Directix
6 The parabola y2 + 2y + x = 0 lie in _____ quadrant. First Second Third Fourth
7 The axis of the parabola x2 = 4ay is: y = 0 x = 0 x = -a y = a
8 What is the axis of the parabola y2 = 4ax? x = 0 y = 0 x = a y = 0
9 The conic is a parabola, when: ᵨ > 1 ᵨ < 1 ᵨ = 1 ᵨ = 0
10 If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is: 10 5 0 20
11 The distance of point P(x,y) from focus in a parabola
y2 =4ax, is:
 2a a x + a x-a
12 a chord passing through the focus of a parabola is called a: Focal chord Latus rectum Tangent Directrix
13 y=0 of the parabola y2 = 4ax is the equation of directirx Equatio of the tangent Equation of axis equation of latus rectum
14 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
15 A line joining two distinct points on a parabola is called a ______ of the parabola. Chord Tangent Lust rectum directrix
16 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
17 ᵨ is a variable Positive constant Positive variable Directrix
18 The line through the focus and perpendicular to the directrix is called ______ of the parabola axis focal chord tangent latus rectum
19 The vertex of the equation y2 = 4ax is: (2, -2) (1,1) (0 , 0) (2 , 2)
20 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
21 The point where the axis meets the parabola is called Directrix Foucu Chord Vertix
22 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
23 The number of real tangents that can be drawn to the ellipse 3x2+ 5y2= 32 passing thro. (3, 5) is 0 1 2 Infinite
24 The two different parts of the hyperbola are called its Vertices Directrices Nappes Branches
25 The line through the centre and perpendicular to the transverse axis is called the Major axis Minor axis Focal axis Conjugate axis
26 The vertices of the ellipse x2+ 4y2= 16 are
27 The end points of the major axis of the ellipse are called its Foci Vertices Co - vertices None of these
28 The axis of the parabola y2= 4ax is X = 0 Y = 0 X = y X = -y
29 The conic is a parabola if e &lt; 1 e &gt; 1 e = 1 None of these
30 The perpendicular bisector of any chord of a circle Passes through the centre of the circle Does not pass through the centre of the circle May or may not pass through the centre of the circle None of these
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