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JEE Main 24 June 2022 Shift 2 Solved Paper
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© examsnet.com
Question : 8
Total: 90
A particle is moving in the
x
y
-plane along a curve
C
passing through the point
(
3
,
3
)
. The tangent to the curve
C
at the point
P
meets the
x
-axis at
Q
. If the
y
-axis bisects the segment
P
Q
, then
C
is a parabola with
[24-Jun-2022-Shift-2]
length of latus rectum 3
length of latus rectum 6
focus
(
4
3
,
0
)
focus
(
0
,
3
4
)
Validate
Solution:
👈: Video Solution
According to the question (Let
P
(
x
,
y
)
)
2
x
−
y
d
x
d
y
=
0
(
∵
equation of tangent at
.
P
:
y
−
y
=
d
y
d
x
(
y
−
x
)
)
∴
2
d
y
y
=
d
x
x
⇒
2
ln
y
=
ln
x
+
ln
c
⇒
y
2
=
c
x
∵
this curve passes through
(
3
,
3
)
∴
c
=
3
∴
required parabola
y
2
=
3
x
and L.R
=
3
© examsnet.com
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