Assertion :The line bx−ay=0 will not meet the hyperbola x2a2−y2b2=1(a>b>0) Reason: The line y=mx+c does not meet the hyperbola x2a2−y2b2=1 if c2=a2m2−b2
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 bx−ay=0 and x2a2−y2b2=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=a2m2−b2 so the line meets the curve at one point.