CAT Circles previous year questions

9 Circles questions from CAT 2022–2025 (Quant), each with its answer and a step-by-step solution.

• Q12In a circle with center C and radius 6√2 cm, PQ and SR are two parallel chords separated by one of the diameters. If ∠…CAT 2025 Slot 1 · Quant · Circles
• Q10Two tangents drawn from a point P touch a circle with center O at points Q and R. Points A and B lie on PQ and PR,…CAT 2025 Slot 2 · Quant · Circles
• Q18Three circles of equal radii touch (but not cross) each other externally. Two other circles, X and Y, are drawn such…CAT 2024 Slot 2 · Quant · Circles
• Q4A circular plot of land is divided into two regions by a chord of length 10√3 meters such that the chord subtends an…CAT 2024 Slot 3 · Quant · Circles
• Q18A quadrilateral ABCD is inscribed in a circle such that AB:CD=2:1 and BC:AD=5:4 . If AC and BD intersect at the point…CAT 2023 Slot 1 · Quant · Circles
• Q18A triangle is drawn with its vertices on the circle C such that one of its sides is a diameter of C and the other two…CAT 2023 Slot 2 · Quant · Circles
• Q18A rectangle with the largest possible area is drawn inside a semicircle of radius 2 cm. Then, the ratio of the lengths…CAT 2023 Slot 3 · Quant · Circles
• Q19All the vertices of a rectangle lie on a circle of radius R . If the perimeter of the rectangle is P , then the area…CAT 2022 Slot 1 · Quant · Circles
• Q18In a triangle ABC, AB = AC = 8 cm. A circle drawn with BC as diameter passes through A. Another circle drawn with…CAT 2022 Slot 3 · Quant · Circles