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Question

Assertion :The point P (5,4) lies inside the hyperbola 9x2y2=1 Reason: Let S=9x2y21 and point P be (5,4), then S1>0

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
If the point (x1,y1) lies outside, on or inside the hyperbola x2a2y2b2=1 then x21a2y21b21<,= or >0.
Assertion- When we put P in the given hyperbola S1=208>0 so P lies inside.
Reason- Reason is also true because S1=208>0, and it is correct explanation of Assertion

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