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Joint Entrance Examination
Mathematics
Hyperbola
Question 67
Question 67 of 106
Medium
MCQ
If the vertices of a hyperbola be at
(
−
2
,
0
)
(-2,0)
(
−
2
,
0
)
and
(
2
,
0
)
(2,0)
(
2
,
0
)
and one of its foci be at
(
−
3
,
0
)
(-3,0)
(
−
3
,
0
)
, then which one of the following points does not lie on this hyperbola?
A
(
−
6
,
2
10
)
(-6,2\sqrt{10})
(
−
6
,
2
10
)
B
(
2
6
,
5
)
(2\sqrt{6},5)
(
2
6
,
5
)
C
(
4
,
15
)
(4,\sqrt{15})
(
4
,
15
)
D
(
6
,
5
2
)
(6,5\sqrt{2})
(
6
,
5
2
)
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Solutions · 1
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Official solution
ae = 3, e = \[{3 \over 2}\], b2 = 4\[\left( {{9 \over 4} - 1} \right)\], b2 = 5 \[{{{x^2}} \over 4} - {{{y^2}} \over 5} = 1\]
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