The tangent at any point of a circle is perpendicular to the radius through the point of contact.

How can you prove the converse of the above theorem. "If a line in the plane of a circle is perpendicular to the radius at its end point on the circle , then the line is tangent to the circle " .

The number of tangents at one point of a circle is …..

A line which is perpendicular to the radius of the circle through the point of contact is called a ………

The tangent at any point f the curve x=at^3,y=at^4 divides the abscissa of the point of contact in the ratio

Choose the correct answer and give justification for each . The angles between a tangent to a circle and the radius draw at the point of contact is

Three circles touch one another externally , The tangents at their points of contact meet at a point whose distance from the point of contact is 4. The ratio of product of their radii to the sum of radii of the circles is

If the tangents at (5,12) and (12,-5) to a circle are perpendicular to each other then the radius of the circle is

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12cm . Find length of PQ .

A tangent PQ at a point P of a circle of radius 7 cm meets a line through the centre O at a point Q so that OQ = 14 cm. Find length of PQ.

Fill in the blanks A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ=13cm . Find length of PQ.