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Question
Mathematics
If the parabola x2=4ay passes through the point (2, 1), then the length of the latus rectum is
Q. If the parabola
x
2
=
4
a
y
passes through the point
(
2
,
1
)
, then the length of the latus rectum is
5515
171
KCET
KCET 2020
Conic Sections
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A
1
27%
B
4
52%
C
2
13%
D
8
8%
Solution:
x
2
=
4
a
y
Given parabola passes through
(
2
,
1
)
.
⇒
2
2
=
4
a
⇒
a
=
1
Length of latus rectum=
4
a
=
4
.