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Question

From a point on the hyperbola x2a2 − y2b2 = 1 lines are drawn to focus S

and directrix perpendicular to it as shown.Then,


A

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B

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C

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D

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Solution

The correct option is A


A hyperbola by definition is the locus of a point in a plane which moves in the plne in such a way that the ratio of its distance from a fixed point, focus, in the same plane to its distance from a fixed line, called directrix, is a constant. This constant is always greater than 1, and is called eccentricity-, 'e'

i.e.,e = PSPD > 1

i.e.,PS > PD.


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