In Fig , XP and XQ are two tangents to the circle with centre O , drawn from an external point X . ARB is another tangent, touching the circle at R . Prove that XA + AR = XB + BR.

Prove that the length of the tangent drawn from an external point to a circle are equal. Using the above, do the following: TP and TQ are tangents from T to the circle with circle O and R in any point on the circle. If AB is a tangent to the circle at R, prove that TA + AR =TB +BR.

In Fig BA and BC are tangents to the circle drawn from an external point B . PQ is a tangent touching the circle at R. If BC = 12 cm and PR = 3 cm, what is the perimeter of DeltaBPQ ?

In Fig.10.72,PA and PB are tangents to the circle drawn from an external point P.CD is a third tangent touching the circle at Q. If PB=10cm and CQ=2cm, what is the length PC?( FIGURE)

PA and PB are tangents to the circle with centre O from an external point P , touching the circle at A and B respectively. Show that the quadrilateral AOBP is cyclic.

CP and CQ are tangents to a circle with centre O.ARB is another tangent touching the circle at R. If CP=11cm,BC=7cm, Then the length BR is :

In Fig.10.74,CP and CQ are tangents to a circle with centre O.ARB is another tangent touching the circle at R. If CP=11cm and BC=7cm, then find the length of BR. (FIGURE)

Two tangents TP and TQ are drawn to a circle with centre O from an external point T . Prove that /_PTQ=2/_OPQ .

Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that angle APB = 2 angle OAB

In Figure,XP and XQ are tangents from X to the circle with centre O.R is a point on the circle.Prove that,XA+AR=XB+BR