Question

If BA and DC are two chords of a circle, which meets at point P when produced. If CD = 3 cm, PA = 10 cm, PB = 4 cm then PC is equal to ______.

Options

• 5 cm

• 4 cm

• 6 cm

• 3 cm

Answer 1

If BA and DC are two chords of a circle, which meets at point P when produced. If CD = 3 cm, PA = 10 cm, PB = 4 cm then PC is equal to 5 cm.

Explanation:

By the secant–secant rule, PA × PB = PC × PD

So 10 × 4 = PC(PC + 3)

PC = 5cm.