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WBJEE 2012 Math Solved Paper
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© examsnet.com
Question : 54
Total: 80
Let P be the mid-point of a chord joining the vertex of the parabola
y
2
=
8
x
to another point on it. Then, the locus of P is
y
2
=
2
x
y
2
=
4
x
x
2
4
+
y
2
=
1
x
2
+
y
2
4
=
1
Validate
Solution:
Let the chord be MN
Let other end of chord joining from vertex to it King on
y
2
=
8
x
be N
(
2
t
2
,
4
t
)
∴ Mid - point of MN
=
(
t
2
,
2
t
)
x
=
t
2
,
y
=
2
t
⇒
x
=
(
y
2
)
2
⇒
y
2
=
4
x
is the required locus of P.
© examsnet.com
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