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Two tangents are drawn from a point C to a circle at A and B. O is the centre of the circle. If ∠AOC = 60°, then ∠ACB is
  • a)
    120°
  • b)
    90°
  • c)
    60°
  • d)
    30°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two tangents are drawn from a point C to a circle at A and B. O is the...

⇒ IN ΔAOC
⇒ ∠AOC = 60° (Given)
⇒ ∠CAO = 90°
∴ ∠OCA = 180°- ( 90° + 60°) = 30°
⇒ ∠ACB = 2 × ∠OCA = 2 × 30° = 60°
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Two tangents are drawn from a point C to a circle at A and B. O is the centre of the circle. If ∠AOC = 60°, then ∠ACB isa)120°b)90°c)60°d)30°Correct answer is option 'C'. Can you explain this answer?
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