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Question

# The angle between the tangent at a point on a circle and the radius at the point of contact is

A

180o

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B

90o

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C

45o

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D

60o

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Solution

## The correct option is B 90o Take point Q outside the circle on the line XY which is a tangent to the circle with centre O at the point of contact P. OQ > OP For every point on the line XY except the point P, OP is the shortest of all the distances of the point o to the points of XY. So, OP is the perpendicular to XY. Or it makes an angle of 90o with the tangent XY.

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