CAT 2025 Slot 1 Question Paper with Solutions – Page 5
All 69 questions of CAT 2025 Slot 1. Tap Show answer, or open the detailed solution (free login). Page 5 of 17.
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
- 10/3
- 27/7
- 13/4
- 29/9
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Answer: D. 29/9
In a circle with center O and radius 6√2 cm, PQ and SR are two parallel chords separated by one of the diameters. If ∠PQC = 45°, and the ratio of the perpendicular distance of PQ and SR from C is 3:2, then the area, in sq cm, of the quadrilateral PQRS is
- 20(3 + √14)
- 4(3√3 + 14)
- 20(√2 + √7)
- 4(3√2 + 7)
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Answer: A. 20(3 + √14)