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CAT 2025 Set-1 | Quantitative Aptitude | Question: 17

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CAT 2025 Set-1 | Quantitative Aptitude | Question-17

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

  1. $\dfrac{27}{7}$
  2. $\dfrac{10}{3}$
  3. $\dfrac{13}{4}$
  4. $\dfrac{29}{9}$

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