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Q.

Choose whether the given statement is true/false: 

A point on the circumference of a circle has only one tangent.

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a

True

b

False

answer is A.

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Detailed Solution

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The given statement is true.

Question Image

Let P be any point on the circle with centre O.

OP is the radius of the circle.

If line l containing points P and Q is perpendicular to OP then OQ>OP because the perpendicular is the shortest distance from a point to a line.

Therefore, every point except P is outside of circle O and the line.

Therefore, a point on the circumference of a circle has only one tangent.

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Choose whether the given statement is true/false: A point on the circumference of a circle has only one tangent.