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If e and e' are the eccentricities of th...

If e and e' are the eccentricities of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2)) =1` and `(y^(2))/(b^(2))-(x^(2))/(a^(2))=1`, then the point `((1)/(e),(1)/(e'))` lies on the circle:

A

``x^(2)+y^(2)=1`

B

`x^(2)+y^(2)=2`

C

`x^(2)+y^(2)=3`

D

`x^(2)+y^(2)=4`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS ENGLISH-HYPERBOLA-Exercise For Session 1
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  7. If e and e' are the eccentricities of the hyperbola (x^(2))/(a^(2))-(y...

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  8. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

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  14. Prove that the straight lines x/a-y/b =m and x/a+y/b=1/m, where a and ...

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  15. Find the centre, eccentricity and length of axes of the hyperbola 3x^...

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  16. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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