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CAT 2025 Coordinate Geometry — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Coordinate Geometry

Difficulty

Hard

Question

Slot-1

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

134\dfrac{13}{4}

299\dfrac{29}{9}

103\dfrac{10}{3}

277\dfrac{27}{7}

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