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प्रश्न
The difference of the focal distances of any point on the hyperbola is equal to
पर्याय
length of the conjugate axis
eccentricity
length of the transverse axis
Latus-rectum
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उत्तर
length of the transverse axis
Let \[P\left( x, y \right)\] be any point on the hyperbola, and \[S, S'\] be the focus with coordinates \[\left( \pm ae, 0 \right)\] .
⇒ \[S'P - SP = 2a\]
Thus, the difference of the focal distances of any point on the hyperbola is equal to the length of the transverse axis.
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