Home
Class 10
MATHS
A tangent PQ at a point P on a circle o...

A tangent PQ at a point P on a circle of radius 5 cm meets a line through the centre O at a point Q so that `OQ = 13` cm. Find PQ.

Text Solution

Verified by Experts

The correct Answer is:
`PQ=12cm`.
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER [SA] TYPE 1 - QUESTIONS)|16 Videos
  • CIRCLES

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

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (MCQs)|1 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

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ =12 cm. Length PQ is .

A tangent XY at the point Q of a circle of radius 5 cm meets a line through the centre O at the point Y, such that OY=13cm . What is the length of QY?

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of tangent

The length of the tangent drawn to a circle of radius 3cm from 5cm away from the centre is

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contacts .

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.

If the tangent at a point P on the circle x^2 + y^2 + 6x + 6y = 2 , meets the straight line 5x- 2y + 6 = 0 at a point Q on the y-axis, then the length of PQ is: