Question

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

• A. 180^o
• B. 90^o
• C. 45^o
• D. 60^o

Answer 1

The correct option is B

90^o

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 90^o with the tangent XY.