CAT 2025 Slot 1 QA · Question 13

The $(x, y)$ coordinates of vertices $P, Q$ and R of a parallelogram PQRS are $(- 3, - 2), (1, - 5)$ and $(9, 1)$ , respectively. If the diagonal SQ intersects the $x$ -axis at $(a, 0)$ , then the value of $a$ is

A.
$\frac{13}{4}$
B.
$\frac{29}{9}$
C.
$\frac{10}{3}$
D.
$\frac{27}{7}$

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