For an arc of a circle with centre

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

For an arc ABAB of a circle with centre OO, CC is any point on the circle different from AA and BB. Which relation between the central angle ∠AOB\angle AOB and the angle ∠ACB\angle ACB at the circumference is always true? (a) ∠AOB=∠ACB\angle AOB = \angle ACB (b) ∠AOB+∠ACB=180∘\angle AOB + \angle ACB = 180^\circ (c) ∠AOB=2∠ACB\angle AOB = 2\angle ACB (d) 2∠AOB=∠ACB2\angle AOB = \angle ACB

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