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Question

Assertion :The point P (1,−3) lies inside the ellipse 5x2+7y2=140 Reason: Let S=5x2+7y2−140 and point P be (1,−3) 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 C Assertion is correct but Reason is incorrect
Ellipse : 5x2+7y2=140
putting point P(1,-3) in ellipse we get
=5×(1)2+7×(3)2140
=5+63140
=72(<0)
Hence, point lies inside ellipse
S=5x2+7y2140
P(1,-3)
S1>0 (this implies point is outside ellipse, but its not)
Hence, Assertion is correct but reason is incorrect.

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