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Let S={(x,y) in R^(2):(y^(2))/(1+r)-(x^(...

Let `S={(x,y) in R^(2):(y^(2))/(1+r)-(x^(2))/(1-r)=1}`, where `r ne pm 1`. Then S represents:

A

a hyperbola whose eccentricity is `(2)/sqrt(1-r)` when `0lt rlt1`

B

an ellispe whose eccentricity is `sqrt(2)/(r+1)` when `0 lt r lt 1`

C

a hypberbla whose eccentricity is `sqrt(2)/(r+1)` when `0lt rlt1`

D

an ellipse whose eccentricity is `(1)/sqrt(r+1)` when `0lt rlt1`

Text Solution

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The correct Answer is:
b
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  12. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

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  13. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

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  14. If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordi...

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