For the hyperbola cos2αx2−sin2αy2=1, which of the following remains constant when αvaries?

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Question

For the hyperbola $\frac{x ^{2}}{cos ^{2} α} - \frac{y ^{2}}{sin ^{2} α} = 1$ , which of the following remains constant when $α$ varies?

eccentricity

directrix

abscissae of vertices

abscissae of foci

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For the hyperbola

\frac{x ^{2}}{cos ^{2} α} - \frac{y ^{2}}{sin ^{2} α} = 1

, which of the following remains constant when

α

varies?

10 mins ago

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Question Text	For the hyperbola $\frac{x ^{2}}{cos ^{2} α} - \frac{y ^{2}}{sin ^{2} α} = 1$ , which of the following remains constant when $α$ varies?
Answer Type	Video solution: 1
Upvotes	151