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Question

The coordinates of a point common to a directrix and an asymptote of the hyperbola x225y216=1 are

A
(2541,2041)
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B
(2541,2041)
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C
(2541,2441)
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D
(2541,2441)
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Solution

The correct option is B (2541,2041)
Equation of the directrices of the given hyperbola are
x225y216=1 are
x=±525+165=±2541(1)

Equations of asymptotes of the given hyperbola are
x225y216=0
y=±bax=±45x(2)
Points of intersection of (1) and (2) are :
(2541,±2041),(2541,±2041)

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