[" Wo circles touches to each other at point "A" .Tangents "TB" and "TC" are drawn on both the circle "],[" om "T" on the common chord of the circle at "P." Then prove that "TB=TC" ."]

Two circles touch each other externally at point P.A common tangent AB is drawn touching the circles at A and B.Find /_APB .

Two circles touch each other internally. Show that the tangents drawn to the two circles from any point on the common tangent, are equal in length.

Two circles touch externally at a point P. From a point T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and R respectively. Prove that TQ = TR

Two circles touch externally at a point P From a point T on the tangent at P ,tangents TQ and TR are drawn to the circles with points of contact Q and R respectively.Prove that TQ=TR.( FIGURE )

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 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 Figure, two circles touch each other at the point C . Prove that the common tangent to the circles at C , bisects the common tangent at P and Q .

Two circles touch each other externally. Prove that the lengths of the tangent drawn to the two circles from any point on the common tangent lie at the point of contact of two circles are equal .