Triangle is drawn inside a circle such that is a diameter

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

Problem

Triangle ABCABC is drawn inside a circle such that ABAB is a diameter. Which statement best explains why ∠ACB\angle ACB is a right angle? (a) The angle subtended by any chord at the centre is half the angle subtended at the circumference. (b) Because the angle subtended by chord ABAB at the centre is 90∘90^{\circ}, the angle at the circumference is 45∘45^{\circ}. (c) A diameter subtends a right angle at the circumference because it subtends an angle of 180∘180^{\circ} at the centre. (d) Equal chords in a circle subtend equal angles at the centre, so ABAB being the longest chord produces a right angle at CC.}],

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