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If `ea n de '` the eccentricities of a hyperbola and its conjugate, prove that `1/(e^2)+1/(e '^2)=1.`

A

`e_(1)^(2) + e_(2)^(2) = 1`

B

`(1)/(e_(1)^(2))- (1)/(e_(2)^(2)) = 1`

C

`(1)/(e_(1)^(2)) + (1)/(e_(2)^(2)) = 1`

D

`e_(1)^(2) - e_(2)^(2) = 1`

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
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  13. Point P, Q and R on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =...

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