Conic Section Test

Result

Conic Section Test - 50

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

The focus of the point which moves such that the ratio of its distance from two fixed point in the plane is always a constant k (< 1) is

A
Hyperbola

B
Ellipse

C
Straight line

D
Circle
Question 2
4 / -1

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x² + 9y² = 9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and the origin O is

A

B

C

D

Solution
Question 3
4 / -1

The normal at a point P on the ellipse x² + 4y² = 16 meets the x-axis at Q. If M is the mid point of the line segment PQ, then the locus of M intersects the latus rectum of the given ellipse at the points

A

B

C

D

Solution
Question 4
4 / -1

A
Ellipse

B
Parabola

C
Hyperbola

D
None of these

Solution
Question 5
4 / -1

A
8

B
6

C
10

D
12

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

For an ellipse with eccentricity ½ the centre is at the origin. If one directrix is x = 4, then the equation of the ellipse is

A

B

C

D

Solution
Question 8
4 / -1

Equation of the ellipse whose foci are (2, 2) and (4, 2) and the major axis is of length 10 is

A

B

C

D

Solution
Question 9
4 / -1

A

B

C

D

Solution
Question 10
4 / -1

The distance between the foci of an ellipse is 16 and eccentricity is ½. Length of the major axis of the ellipse is

A
8

B
64

C
16

D
32

Solution