A - B - C are three points on a circle- The tangent at C meets BA produced at T- Given that - ATC -36- - - ACT -48- calculate the angle subtended by AB at the center of the circle-A- 48-B- 96- 36-D- 84-E- 90-

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Standard X

Mathematics

Number of Tangents Drawn to a Circle

A , B & C are...

Question

A, B & C are three points on a circle. The tangent at C meets BA produced at T. Given that ∠ATC = 36^o & ∠ACT = 48^o, calculate the angle subtended by AB at the center of the circle.

48^o

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96^o

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36^o

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84^o

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90^o

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Solution

The correct option is B
96^o

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A, B & C are three points on a circle. The tangent at C meets BA produced at T. Given that ∠ATC = 36o & ∠ACT = 48o, calculate the angle subtended by AB at the center of the circle.

The correct option is B 96o

A, B & C are three points on a circle. The tangent at C meets BA produced at T. Given that ∠ATC = 36^o & ∠ACT = 48^o, calculate the angle subtended by AB at the center of the circle.

The correct option is B
96^o