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

If two tangents to a circle are inclined at an angle of 35^(@), the radit through the points of contact of those tangents are inclined at an angle of ..........

Choose the correct answer and give justification for each. (i) The angle between a tangent to a circle and the radius at the point of contact is

The x-intercept of the tangent to a curve is equal to the ordinate of the point of contact. The equation of the curve through the point (1,1) is

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.

Line through the points (-2,6) and (4,8) is perpendicular to the line through the points (8,12) and (x,24). Find the value of x .

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

The Curve possessing the property text the intercept made by the tangent at any point of the curve on the y-axis is equal to square of the abscissa of the point of tangency, is given by

The common point of a tangent to a circle and the circle is called the point of contact.

If two tangents to a circle are inclined at an angle of 75^(@), then the radii through their points of contact are inclined at an angle of ..........