JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

Let $S = {(x, y) \in R^{2} : \frac{y ^{2}}{1 + r} - \frac{x ^{2}}{1 - r} = 1},$ where $r \neq = \pm 1.$ Then S represents

A
An ellipse whose eccentricity is $\frac{1}{r + 1}$ when r > 1
B
An ellipse whose eccentricity is $\frac{2}{r + 1}$ , when r > 1
C
A hyperbola whose eccentricity is $\frac{2}{r + 1}$ , when 0 < r < 1
D
A hyperbola whose eccentricity is $\frac{2}{1 - r}$ , when 0 < r < 1

Solution

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