Home
Class 10
MATHS
In the given figure, AB is a chord of a ...

In the given figure, AB is a chord of a circle with centre O such that `AB=16cm` and radius of the circle is 10 cm. Tangent at A and B intersect each other at P. Find PA.

Text Solution

Verified by Experts

The correct Answer is:
`PA= 13.33cm`.
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS)|2 Videos
  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos
  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER [SA] TYPE - 2 - QUESTIONS)|13 Videos
  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS)|4 Videos
  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS [HOTS] QUESTIONS|14 Videos

Similar Questions

Explore conceptually related problems

In the given figure, AD is a diameter of a circle with centre O and AB is a tangent at A. C is a point on the circle such that DC produced intersects the tangent at B and |__ABD=50^(@) . Find |__COA .

In the given figure, AP and BP are tangents to a circle with centre O such that AP=5 cm and |__APB=60^(@) . Find the length of chord AB.

In the adjacent figure, AB is a chord of circle with centre O. CD is the diameter perpendicualr to AB. Show that AD = BD

In the figure, PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at T. Find TP and TQ.

In the given figure, a chord AB of the circle with centre O and radius 10 cm, that subtends a right angle at the centre of the circle. Find the area of the minor segment AQBP. Hence find the area of major segment A angle lBQA.

In the figure, PA and PB are tangents to the circle with centre O such that |__APB=50^(@) . Find |__OAB .

In the figure, O is the centre of a circle of radius 5 cm. T is the point such that OT=13cm and OT intersects the circle at E. If AB is the tangent to the circle at E, find the length of AB.

AP is the tangent to a circle with centre O as shown in the figure .IF angleP=45^(@) and radius of the circle is 5cm,then OP is equal to :

In the figure, AB is the diameter of a circle with centre O and AT is a tangent. If |__AOQ=58^(@) , find |__ATQ .

In the given figure,chord AB =chord CD=8cm and OX=3cm ,Radius OC=