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Question

Assertion :The point P (5,−4) lies inside the hyperbola 9x2−y2=1 Reason: Let S=9x2−y2−1 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 AssertionIf the point (x1,y1) lies outside, on or inside the hyperbola x2a2−y2b2=1 then x21a2−y21b2−1<,= 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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