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JEE Main Math Class 11 Coordinate Geometry Part 1 Questions
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© examsnet.com
Question : 13
Total: 100
Let
P
Q
be a double ordinate of the parabola,
y
2
=
−
4
x
, where P lies in the second quadrant. If
R
divides
P
Q
in the ratio 2: 1 then the locus of
R
is :
[Online April 11, 2015]
3
y
2
=
−
2
x
3
y
2
=
2
x
9
y
2
=
4
x
9
y
2
=
−
4
x
Validate
Solution:
Let
P
(
−
a
t
1
2
,
2
a
t
1
)
,
Q
(
−
a
t
1
2
,
−
2
a
t
1
)
and
R
(
h
,
k
)
By using section formula, we have
h
=
−
a
t
1
2
,
k
=
−
2
a
t
1
3
k
=
−
2
a
t
1
3
⇒
3
k
=
−
2
a
t
⇒
9
k
2
=
4
a
2
t
1
2
=
4
a
(
−
h
)
⇒
9
k
2
=
−
4
a
h
⇒
9
k
2
=
−
4
h
⇒
9
y
2
=
−
4
x
© examsnet.com
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