Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that `angle PTQ=2angleOPQ`.

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

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

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^@ , then angle POA is equal to

Two equal chords AB and CD of a circle with centre O, intersect each other at E. Prove that AD = CB

If tangents PA and PB from a point to a circle with centre O are inclined to each other at angle of 80 ∘ , then ∠POA is equal to ,

In the following choose the correct option and give justification. In Fig. 10.11 , if TP and TQ are the two tangents to a circle with centre O so that angle POQ= 110^@ , then angle PTQ is equal to

L and M are mid-points of two eqal chords AB and CD of a circle with centre O Prove that angleOLM = angleOML

In given figure, if TP and TQ are the two tangents to a circle with centre O so that /_POQ = 110 ° , find angle /_ PTQ .

L and M are mid-points of two equal chords AB and CD of a circle with centre O Prove that angleALM = angleCML

Two equal chords AB and CD of a circle C(O,r) when produced meet at a point E. Prove that: BE = DE