CAT 2025 Slot 1QA Question 13

Coordinate GeometryMedium

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

Answer & solution

Correct answer: \(\frac{29}{9}\)

  • A
    134\frac{13}{4}
  • 299\frac{29}{9}
  • C
    103\frac{10}{3}
  • D
    277\frac{27}{7}

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CAT 2025 Slot 1 QA Q13: The \((x, y)\) coordinates of vertices \(\mathrm{P}, \mathrm{Q}\) and R of a parallelogram PQRS are \((-3,-2), — Solution | TheCATExam