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JEE Main Math Class 11 Coordinate Geometry Part 1 Questions
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© examsnet.com
Question : 3
Total: 100
A hyperbola whose transverse axis is along the major axis of the conic,
x
2
3
+
y
2
4
=
4
and has vertices at the foci of this conic. If the eccentricity of the hyperbola is
3
2
,
then which of the following points does NOT lie on it?
[Online April 10, 2016]
(
√
5
,
2
√
2
)
(0,2)
(
5
,
2
√
3
)
(
√
10
,
2
√
3
)
Validate
Solution:
x
2
12
+
y
2
16
=
1
e
=
√
1
−
12
16
=
1
2
Foci (0,2)
&
(
0
,
−
2
)
So, transverse axis of hyperbola
=
2
b
=
4
⇒
b
=
2
a
2
=
1
2
(
e
2
−
1
)
⇒
a
2
=
4
(
9
4
−
1
)
⇒
a
2
=
5
∴
It's equation is
x
2
5
−
y
2
4
=
−
1
The point
(
5
,
2
√
3
)
does not satisfy the above equation.
© examsnet.com
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