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Eccentricity of Hyperbola

If the length...

Question

If the length of the transverse and conjugate axes of a hyperbola are $8$ and $6$ units respectively, then the absolute value of difference of focal distances of any point of the hyperbola is unit.

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Solution

Given $2 a = 8, 2 b = 6$
Now we know that difference of focal distances of any point of the hyperbola is equal to the length of transverse axis $= 2 a = 8$ unit.

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Q. The difference of the focal distances of any point on the hyperbola is equal to
(a) length of the conjugate axis
(b) eccentricity
(c) length of the transverse axis
(d) Latus-rectum

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Eccentricity of Hyperbola

Standard XII Mathematics

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