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Home
Conic Section Test - 31
Conic Section Test - 31
Result
Conic Section Test - 31
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
The focal distance of a point on the parabola y
2
= 16x whose ordinate is twice the abscissa, is
Correct
Wrong
Skipped
A
6
Correct
Wrong
Skipped
B
8
Correct
Wrong
Skipped
C
10
Correct
Wrong
Skipped
D
12
Solutions
Question
2/10
4 / -1
The coordinates of the extremities of the latus rectum of the parabola 5y
2
= 4x are
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
None of these
Solutions
Question
3/10
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
Correct
Wrong
Skipped
A
6
Correct
Wrong
Skipped
B
8
Correct
Wrong
Skipped
C
10
Correct
Wrong
Skipped
D
12
Solutions
Question
4/10
4 / -1
The focus of the parabola x
2
= –16y is
Correct
Wrong
Skipped
A
(4, 0)
Correct
Wrong
Skipped
B
(0, 4)
Correct
Wrong
Skipped
C
(–4, 0)
Correct
Wrong
Skipped
D
(0, –4)
Solutions
Question
5/10
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
Correct
Wrong
Skipped
A
(1, 0)
Correct
Wrong
Skipped
B
(0, 1)
Correct
Wrong
Skipped
C
(2, 0)
Correct
Wrong
Skipped
D
(0, 2)
Solutions
Question
6/10
4 / -1
If the parabola y
2
= 4ax passes through (–3, 2), then length of its latus rectum is
Correct
Wrong
Skipped
A
2/3
Correct
Wrong
Skipped
B
1/3
Correct
Wrong
Skipped
C
4/3
Correct
Wrong
Skipped
D
4
Solutions
Question
7/10
4 / -1
The ends of latus rectum of parabola x
2
+ 8y = 0 are
Correct
Wrong
Skipped
A
(–4, –2) and (4, 2)
Correct
Wrong
Skipped
B
(4, –2) and (–4, 2)
Correct
Wrong
Skipped
C
(–4, –2) and (4, –2)
Correct
Wrong
Skipped
D
(4, 2) and (–4, 2)
Solutions
Question
8/10
4 / -1
The end points of latus rectum of the parabola x
2
= 4ay are
Correct
Wrong
Skipped
A
(a, 2a), (2a, –a)
Correct
Wrong
Skipped
B
(–a, 2a), (2a, a)
Correct
Wrong
Skipped
C
(a, –2a), (2a, a)
Correct
Wrong
Skipped
D
(–2a, a), (2a, a)
Question
9/10
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
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
Solutions
Question
10/10
4 / -1
Focus and directrix of the parabola x
2
= –8ay are
Correct
Wrong
Skipped
A
(0, –2a) and y = 2a
Correct
Wrong
Skipped
B
(0, 2a) and y = –2a
Correct
Wrong
Skipped
C
(2a, 0) and x = –2a
Correct
Wrong
Skipped
D
(–2a, 0) and x = 2a
Solutions
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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