RRB Junior Engineer Stage 1 Model Papers 9

Question : 21 of 100

Marks: +1, -0

A, B and C are the three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 90° and 110° respectively. ∠BAC is equal to

70°
80°
90°
100°

Validate

Solution:

∠AOB = 90° ; OA = OB = r

∴ ∠BAO = ∠ABO = 45°

∴ ∠AOC = 110°; OA = OC = r

∴ ∠OAC = ∠OCA =70/2=35°

∴ ∠BAC = 45° + 35° = 80°

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