`PQ` is a chord of length 8 cm, of a circle with centre O and of radius 5 cm. The tangents at P and Q intersect at a point T. The length of TP is
Text Solution
Verified by Experts
`OR^2 +PR^2 = OP^2`
`OR = 3cm`
Now, from similarity of triangles
`(TP)/(PO) = (RP)/(RO)`
`TP = 20/3 cm`
Topper's Solved these Questions
CIRCLES
NCERT|Exercise Exercise 10.1|2 Videos
ARITHMETIC PROGRESSIONS
NCERT|Exercise Exercise 5.3|20 Videos
CONSTRUCTIONS
NCERT|Exercise EXERCISE 11.2|7 Videos
Similar Questions
Explore conceptually related problems
In the adjoining figure, AB is a chord of length 9.6 cm of a circle with centre O and radius 6 cm. The tangents at A and B intersect at P. Find the length of PA.
PQ is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. Find the length TP
AB is a chord of length 24cm of a circle of radius 13cm .The tangents at A and B intersect at a point C. Find the length AC
In Fig , PQ is a chord of length 16 cm, of a radius 10 cm . The tangents at P and Q intersect at a point T. Find the length of TP.
PQ is chord of length 6 cm of a circle of radius 5 cm. Tangents to the circle at P and Q meet at T. Length of TP is
In Fig , AB is a chord of a circle , with centre O , such that AB = 16 cm and radius of circle is 10 cm. Tangents at A and B intersect each other at P . Find the length of PA.
