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

  1. BC = BD

  2. BC is larger than BD.

  3. BC is smaller than BD.

  4. C, B and D are collinear.

O' and O'' are centers of two circles which intersect each other at points A and B. Then : Circles, Concise Mathematics Solutions ICSE Class 10.

Circles

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Answer

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.

Hence, Option 4 is the correct option.

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