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AIEEE 2004 Math Solved Paper
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© examsnet.com
Question : 32
Total: 68
A point on the parabola
y
2
=
18
x
at which the ordinate increases at twice the rate of the abscissa is
(
9
8
,
9
2
)
(
2
,
−
4
)
(
−
9
8
,
9
2
)
(
2
,
4
)
Validate
Solution:
y
2
=
18
x
⇒
2
y
d
y
d
x
=
18
⇒
d
y
d
x
=
9
y
Given
d
y
d
x
=
2
⇒
9
2
=
2
⇒
y
=
9
2
Putting in
y
2
=
18
x
⇒
x
=
9
8
∴
Required point is
(
9
8
,
9
2
)
© examsnet.com
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