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JEE Main Math Class 11 Coordinate Geometry Part 2 Questions
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© examsnet.com
Question : 67
Total: 100
Let the length of the latus rectum of an ellipse with its major axis along
x
-axis and centre at the origin, be 8 . If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?
[Jan. 11, 2019 (II)]
(
4
√
2
,
2
√
2
)
(
4
√
3
,
2
√
2
)
(
4
√
3
,
2
√
3
)
(
4
√
2
,
2
√
3
)
Validate
Solution:
Let the ellipse be
x
2
a
2
+
y
2
b
2
=
1
Then,
2
b
2
a
=
8
,
2
a
e
=
b
2
and
b
2
=
a
2
(
1
−
e
2
)
⇒
a
=
8
,
b
2
=
32
Then, the equation of the ellipse
x
2
64
+
y
2
32
=
1
Hence, the point
(
4
√
3
,
2
√
2
)
lies on the ellipse.
© examsnet.com
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