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Question

The position of the point (2, 5) relative to the hyperbola 9x2y2=1



A

Inside

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B

Outside

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C

lie on

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D

None of these

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Solution

The correct option is D

Inside


Simply substitute the point (2, 5) on the LHS of the standard hyperbola,

9x2y2=9.2252

=9.4-25

=11

> 1

This implies that the point lies inside the given hyperbola.

Hence option (a)


Mathematics

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