CAT 2024 Geometry & Mensuration Question (Hard)

Question

The roots of the polynomial P x 2x 3 - 11x 2 17x - 6 are the radii of three concentric circles. The ratio of their area, when arranged from the largest to the smallest, is

Optima Learn · Accepted Answer

First factorize the polynomial P x 2x 3 - 11x 2 17x - 6 x - 3 x - 2 2x - 1 . So the roots are x 3, 2, 2 . These are the radii of the three circles. Areas of circles are proportional to the squares of their radii 3 2 2 2 left 2 right 2 9 4 4 . Multiply all by 4 to clear fractions 36 16 1. Hence, the

CAT 2024 Geometry & Mensuration — Previous Year Question

CAT 2024

Quantitative

Geometry & Mensuration

Hard

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