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.

Question

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. (A) Statement- 1 is true, statement-2 is true and statement-2 is correct explanation for statement-1. (B) Statement- 1 is true, statement- 2 is true and statement- 2 is NOT the correct explanation for statement- 1 . (C) Statement-1 is true, statement- 2 is false. (D) Statement-1 is false, statement- 2 is true.

Tardigrade Admin · Accepted Answer

Point Q is (-3,4) ; PQ =√49+49=√98=7 √2

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 $PQ$ is $72$ .
Statement-2: Bisector of the first and third quadrant is perpendicular bisector of $PQ$ .

Statement- 1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

Statement- 1 is true, statement- 2 is true and statement- 2 is NOT the correct explanation for statement- 1 .

Statement-1 is true, statement- 2 is false.

Statement-1 is false, statement- 2 is true.

Point $Q$ is $(- 3, 4); PQ = 49 + 49 = 98 = 72$

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 PQ is 72​. Statement-2: Bisector of the first and third quadrant is perpendicular bisector of PQ.