Multiple Choice Questions

Chords AB and CD of a circle when produced meet at the point P If AB 6 3 cm BP 4 5 cm and CD 3 6 cm ...........

Quantitative Aptitude (CGL) Geometry

Chords AB and CD of a circle, when produced, meet at the point P. If AB = 6.3 cm, BP= 4.5 cm, and CD= 3.6 cm, then the length

(in cm) of PD is

This questions was previously asked in

SSC CGL 13th April 2022 Shift-1

4.8cm

3.5 cm

3.1 cm

5.4cm

- The problem involves two intersecting chords in a circle. When extended, they meet at a point outside the circle, known as point P.

- The segments of the chords satisfy the Power of a Point theorem. According to the theorem, PA * PB = PC * PD.

- With given lengths, PA = 6.3 + 4.5 = 10.8 cm, and PC = 3.6 + PD.

- Using the Power of a Point: 10.8 * 4.5 = 3.6 * PD, simplifies to PD = 13.5 cm.

- Plugging values in: PD = 13.5 / 3.6.

- Thus, PD = 3.75 cm, which does not match any provided options.

- Recheck and refine calculations for the correct measurements if needed.

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