Conic Section Test

Result

Conic Section Test - 31

Score
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Weekly Quiz Competition

Question 1
4 / -1

The focal distance of a point on the parabola y² = 16x whose ordinate is twice the abscissa, is

A
6

B
8

C
10

D
12

Solution
Question 2
4 / -1

The coordinates of the extremities of the latus rectum of the parabola 5y² = 4x are

A

B

C

D
None of these

Solution
Question 3
4 / -1

A parabola passing through the point (–4, –2) has its vertex at the origin and y–axis as its axis. The latus rectum of the parabola is

A
6

B
8

C
10

D
12

Solution
Question 4
4 / -1

The focus of the parabola x² = –16y is

A
(4, 0)

B
(0, 4)

C
(–4, 0)

D
(0, –4)

Solution
Question 5
4 / -1

A parabola has the origin as its focus and the line x = 2, as the directrix. Then the vertex of the parabola is at

A
(1, 0)

B
(0, 1)

C
(2, 0)

D
(0, 2)

Solution
Question 6
4 / -1

If the parabola y² = 4ax passes through (–3, 2), then length of its latus rectum is

A
2/3

B
1/3

C
4/3

D
4

Solution
Question 7
4 / -1

The ends of latus rectum of parabola x² + 8y = 0 are

A
(–4, –2) and (4, 2)

B
(4, –2) and (–4, 2)

C
(–4, –2) and (4, –2)

D
(4, 2) and (–4, 2)

Solution
Question 8
4 / -1

The end points of latus rectum of the parabola x² = 4ay are

A
(a, 2a), (2a, –a)

B
(–a, 2a), (2a, a)

C
(a, –2a), (2a, a)

D
(–2a, a), (2a, a)
Question 9
4 / -1

The equation of the parabola with its vertex at the origin, axis on the y-axis and passing through the point (6, –3) is

A

B

C

D

Solution
Question 10
4 / -1

Focus and directrix of the parabola x² = –8ay are

A
(0, –2a) and y = 2a

B
(0, 2a) and y = –2a

C
(2a, 0) and x = –2a

D
(–2a, 0) and x = 2a

Solution