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In the figure, O is the centre of the circle and AC = BC = 3.5 cm. ∠ACO will be :

In the figure, O is the centre of the circle and AC = BC = 3.5 cm. ∠ACO will be. Chord Properties of a Circle, R.S. Aggarwal Mathematics Solutions ICSE Class 9.
  1. 60°

  2. 80°

  3. 90°

  4. 100°

Circles

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Answer

The line joining the centre of a circle to the midpoint of a chord is perpendicular to the chord.

Since,

AC = BC [C is the midpoint of AB]

O is the centre.

Thus, OC is perpendicular to AB.

∠ACO = 90°.

Hence, option 3 is the correct option.

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