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  4. Statement-1: Point Q is symmetric to point P(4,-3) with respect to bisector of first and third quadrant then the length of P Q is 7 √2. Statement-2: Bisector of the first and third quadrant is perpendicular bisector of P Q.

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Q. Statement-1: Point $Q$ is symmetric to point $P(4,-3)$ with respect to bisector of first and third quadrant then the length of $P Q$ is $7 \sqrt{2}$.
Statement-2: Bisector of the first and third quadrant is perpendicular bisector of $P Q$.

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Solution:

Point $Q$ is $(-3,4) ; PQ =\sqrt{49+49}=\sqrt{98}=7 \sqrt{2}$