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A hyperbola passes through the point P(s...

A hyperbola passes through the point `P(sqrt(2),sqrt(3))` and has foci at `(+-2,0)dot` Then the tangent to this hyperbola at `P` also passes through the point : `(sqrt(3),sqrt(2))` (2) `(-sqrt(2),-sqrt(3))` (3) `(3sqrt(2),2sqrt(3))` (4) `(2sqrt(2),3sqrt(3)`

A

`(-sqrt2,-sqrt3)`

B

`(3sqrt2,2sqrt3)`

C

`(2sqrt2,3sqrt3)`

D

`(sqrt2,sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci at (+-2,0). Then the tangent to this hyperbola at P also passes through the point:

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DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
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