Question

In the given figure, PA and PB are tangents to the given circle such that PA = 5 cm and ∠APB = 60°. The length of chord AB is ______.

Options

• `5sqrt(2)` cm

• 5 cm

• `5sqrt(3)` cm

• 7.5 cm

Answer 1

In the given figure, PA and PB are tangents to the given circle such that PA = 5 cm and ∠APB = 60°. The length of chord AB is 5 cm.

Explanation:

PA = PB ⇒ ∠PBA = ∠PAB = x°   ...(say)

Then, x° + x° + 60° = 180 ⇒ x = 60°.

∴ ΔАРB is equilateral and so, AB = PA = 5 cm.