Set S Equation Eccentricity (Jee Mains) | ExamDuo
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Hyperbola
Medium
Set S Equation Eccentricity
Let S =
{
(
x
,
y
)
∊
R
2
:
y
2
1
+
r
−
x
2
1
−
r
=
1
}
, where r ≠ ± 1. Then S represents :
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SELECT ONE OPTION
A
A hyperbola whose eccentricity is
2
√
r
+
1
, where 0 < r < 1.
B
An ellipse whose eccentricity is
1
√
r
+
1
, where r > 1
C
A hyperbola whose eccentricity is
2
√
r
−
1
, when 0 < r < 1.
D
An ellipse whose eccentricity is
2
√
r
+
1
, when r > 1
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