Home
Class 10
MATHS
Two tangent TP and TQ are drawn to a cir...

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

Text Solution

Verified by Experts

The correct Answer is:
`anglePTQ=2angleOPQ`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    KUMAR PRAKASHAN|Exercise Test Your Skills|12 Videos

  • CIRCLE

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|8 Videos

  • CIRCLE

    KUMAR PRAKASHAN|Exercise Objective Questions (True & False)|4 Videos

  • ARITHMETIC PROGRESSION

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|1 Videos

  • CONSTRUCTIONS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|25 Videos

Similar Questions

Explore conceptually related problems

Two tangent segments PA and PB are drawn to a circle with centre O such that angleAPB=120^@ . Prove that OP=2AP.

If tangent PA and PB from point P to a circle with centre O are inclided to each other at an angle of 80^(@) . Then anglePOA = ……..

Two tangents TA and TB to circle with centre O are inclined to each other angle of 70^(@) . Then, Find angleOAB .

In the given figure. 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 …….

From an external point P, tangent PA=PB are drawn to a circle with centre O. If anglePAB=50^@, then find angleAOB .

PQ is tangent drawn from point P to a circle with centre O and QR is a diameter of the circle, such that anglePOR=120^(@) . Then, angleOPQ=…….. .

The pair of tangents AP and AQ drawn from an external point to a circle with centre O are perpendicular to each other and the length of each tangent is 4 cm. Then, the radius of the circle is ... cm.

PQ is a tangent to a circle with centre O at the point P. If DeltaOPQ is an isosceles triangle, then angleOQP=………. .

The lengths of the two tangents from an external point to a circle are equal.

Choose the correct answer and give justification for each. 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 /_POA is equal to