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Standard XIII
Mathematics
Rectangular Hyperbola
The eccentric...
Question
The eccentricity of the rectangular hyperbola is
A
2
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B
√
2
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C
\N
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D
None of these
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Solution
The correct option is
B
√
2
In case of rectangular hyperbola,
a
=
b
⇒
b
2
=
a
2
⇒
a
2
(
e
2
−
1
)
=
a
2
⇒
e
=
√
2
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Similar questions
Q.
What is the eccentricity of rectangular hyperbola?
Q.
Define Rectangular Hyperbola and find its eccentricity
Q.
Assertion :A hyperbola whose asymptotes are at right angles to each other is called rectangular hyperbola. Reason: Eccentricity of rectangular hyperbola is
√
2
.
Q.
Assertion :Eccentricity of rectangular hyperbola
x
y
=
c
2
is
√
2
. Reason: The transverse & conjugate axes of rectangular hyperbola are equal.
Q.
The length of Transverse axis and Conjugate axis is always equal in rectangular hyperbola and its eccentricity is always
√
2
.
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