Question

O' and O'' are centres of two circles which intersect each other at points A and B. Then:

Options

• BC = BD

• BC is larger than BD.

• BC is smaller than BD.

• C, B and D are collinear.

Answer 1

C, B and D are collinear.

Explanation:

We know that,

Angle in semicircle is a right angle.

From figure,

AC and AD are diameter.

∴ ∠ABC = ∠ABD = 90°.

From figure,

⇒ ∠ABC + ∠ABD = 90° + 90° = 180°.

∴ CBD is a straight line, or points C, B and D are collinear.