Conic Section Test

Result

Conic Section Test - 41

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

Two perpendicular tangents to y² = 4ax always intersect on the line is

A
x = a

B
x = a

C
x = a

D
x + 4a = 0

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

The two tangents drawn from a point P to the parabola y² = 4x are at right angles, then the locus of P is

A
x = 1

B
2x + 1 = 0

C
x = –1

D
x = –1

Solution
Question 4
4 / -1

The tangent drawn at any point P the parabola y² = 4ax meets the directrix at the point K, then the angle which KP subtends at its focus is

A
30^o

B
45^o

C
60^o

D
90^o

Solution
Question 5
4 / -1

The normal meet the parabola y² = 4ax at the point where the abscissa of the point is equal to the ordinate of the point is

A
(6a, –9a)

B
(–9a, 6a)

C
(–6a, 9a)

D
(9a, –6a)

Solution
Question 6
4 / -1

A

B

C
0

D

Solution
Question 7
4 / -1

A
0^o

B
90^o

C
60^o

D
30^o

Solution
Question 8
4 / -1

If the tangent to the parabola y² = ax makes an angle of 45^o with x-axis, then the point of contact is

A

B

C

D

Solution
Question 9
4 / -1

The number of parabolas that can be drawn if two ends of the latus rectum are given

A
1

B
2

C
4

D
3

Solution
Question 10
4 / -1

The point of the intersection of tangents at the ends of the latus rectum of the parabola y² = 4x is equal to

A
(1, 0)

B
(–1, 0)

C
(0, 1)

D
(0, –1)

Solution