Exams › SSC CGL (Prelims) › General

In a circle, two chords AB and CD intersect at point P inside the circle. If AP = 4 cm, PB = 6 cm, and CP = 3 cm, find the length of PD.

1. 10 cm
2. 6 cm
3. 4 cm
4. 8 cm

Correct answer: 8 cm

Solution

For two chords intersecting inside a circle, the products of the segments are equal: AP × PB = CP × PD. Substituting the values gives 4 × 6 = 3 × PD, so PD = 8 cm.

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