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A double ordinate
P
Q
of the hyperbola
x
2
a
2
−
y
2
b
2
=
1
is such that
Δ
O
P
Q
is equilateral,
O
being the centre of the hyperbola. Then the eccentricity e satisfies the relation
0
votes
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
A double ordinate
P
Q
of the hyperbola
x
2
a
2
−
y
2
b
2
=
1
is such that
Δ
O
P
Q
is equilateral,
O
being the centre of the hyperbola. Then the eccentricity e satisfies the relation
(A)
1
<
e
<
2
√
3
(B)
e
=
2
√
3
(C)
e
=
√
3
2
(D)
e
>
2
√
3
Ans(D)
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