Assertion :The lines $x + 3 y = 5, 3 x - y = 9$ are perpendicular. Reason: 2 lines are perpendicular if the product of their slopes is -1

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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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
The slopes of line 1 is $\frac{1}{3}$
The slopes of line 2 is $\frac{-}{3}$
The product of their slopes is $\frac{1}{3} \times - 3 = - 1$

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