Let S = \{ (x,y) ∊R^2 : y^2/{1+r}-x^2/{1-r} = 1\} , where r ≠ ± 1. Then S represents : [10 Jan 2019 Shift 2]

Correct Answer is : An ellipse whose eccentricity is 2√r+1 , when r > 1

A hyperbola whose eccentricity is 2/\sqrt{r+1} , where 0 < r < 1.

An ellipse whose eccentricity is 1/\sqrt{r+1} , where r > 1

A hyperbola whose eccentricity is 2/\sqrt{r-1} , when 0 < r < 1.

An ellipse whose eccentricity is 2/\sqrt{r+1} , when r > 1

Ellipse

Section: Mathematics

Question : 94 of 110

Marks: +1, -0

Let S = { (x,y)∊R2:

1+r

−

1−r

=1} , where r ≠ ± 1. Then S represents :

[10 Jan 2019 Shift 2]

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