Assertion :The points $(1, 1)$ & $(- 1, - 1)$ lie on the same side of the line $x - y + 1 = 0$ Reason: The algebraic perpendicular distances from the given points to the line have same sign

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 points $(1, 1)$ & $(- 1, - 1)$ lie on the same side of the line
$i . e . x - y + 1 = 0$
$∴$ Assertion is correct
Now The algebraic perpendicular distances from the given points to the line have same sign
Thus reason also correct
Hence Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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