Conic Section Test

Result

Conic Section Test - 43

Score
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Weekly Quiz Competition

Question 1
4 / -1

In the parabola y² = 6x, the equation of the chord through vertex and negative end of laws rectum, is

A
y = 2x

B
x = 2y

C
y + 2x = 0

D
x + 2y = 0

Solution
Question 2
4 / -1

The length of chord of contact of the tangents drawn from the point (2, 5) to the parabola y² = 8x, is

A

B

C

D

Solution
Question 3
4 / -1

If ‘a’ and ‘c’ are the segments of a focal chord of a parabola and b the semi-latus rectum, then

A
a, b, c are in A.P.

B
a, b, care in G.P.

C
a, b, c are in H.P.

D
None of these

Solution
Question 4
4 / -1

If the segment intercepted by the parabola y² = 4ax with the line lx + my + n = 0 subtends a right angle at

A
4a1 + n = 0

B
4a1+4am+ n = 0

C
4am + n = 0

D
a1 + n = 0

Solution
Question 5
4 / -1

A set of parallel chords of the parabola y² = 4ax have their mid-point on

A
Any straight line through the vertex

B
Any straight line through the focus

C
Any straight line parallel to the axis

D
Another parabola

Solution
Question 6
4 / -1

The equations of the normals at the ends of laws rectum of the parabola y² = 4ax are given by

A
x² – y² – 6ax + 9a² = 0

B
x² – y² – 6ax – 6ay + 9a² = 0

C
x² – y² – 6ay + 9a²= 0

D
None of the above

Solution
Question 7
4 / -1

If the normals at two points P and Q of a parabola y² = 4ax intersect at a third point R on the curve, then the product of ordinates of P and Q is

A
4a²

B
2a²

C
– 4a²

D
8a²

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A
6

B
4

C
3

D
None of these

Solution
Question 10
4 / -1

At what point on the parabola y² = 4x, the normal makes equal angles with the coordinate axes

A
(4, 4)

B
(9, 6)

C
(4, –4)

D
(1, –2)

Solution