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Question

Assertion :The line bxay=0 will not meet the hyperbola x2a2y2b2=1 (a>b>0) Reason: The line y=mx+c does not meet the hyperbola x2a2y2b2=1 if c2=a2m2b2

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
If we solve bxay=0 and x2a2y2b2=1
We get, 0=1 no solution showing that statement-l is true.
But the statement-2 is false as the line y=mx+c is a tangent to the hyperbola if c2=a2m2b2 so the line meets the curve at one point.

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