A Tangent to a circle is a line which touches the circle at only one point.

Two circles touch each other at the point R. PQ is a common tangent to both the circle which touches the circle at the points P and Q. Then anglePRQ=

Two tangents are drawn from an external point A of the circle with centre at O which touches the circle at the points B and C. Prove that AO is the perpendicular bisector of BC.

Two circles touch each other externally at the point C. AB is a common tangent to both the circels and touches the circle at the points A and B. Then the value of angle ABC is [GP-X]

In the adjoining figure, two tangents drawn from external point C to a circle with centre O touches the circel at the point P and Q respectively. A tangent drawn at another point R of the circle intersects CP and CQ at the points A and B respectively. If CP = 7 cm and BC =11 cm, then determine the length of BR.

Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then anglePAQ =

Prove that the locus of the center of the circle which touches the given circle externally and the given line is a parabola.

Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C .A tangent drawn a point X lies on minor are BC intersects AB and AC at the points D and E respectively. Prove that perimeter of DeltaADE=2AB.

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C. A tangent drawn to a point X lies on minor arc BC intersects AB and AC at the points D and E respectively. Prove that peremeter of triangleADE = 2AB .

The parpendicular drawn on radius at the end point of radius of a circle will be a tangent to the circle at the end point of radius.