If the tangent at a point P to a circ...

If the tangent at a point `P` to a circle with centre `O` cuts a line through `O` at `Q` such that `P Q=24 c m` and `O Q=25 c m` . Find the radius of the circle.

Topper's Solved these Questions

ARITHMETIC PROGRESSIONS
RD SHARMA|Exercise All Questions|329 Videos
CONSTRUCTIONS
RD SHARMA|Exercise All Questions|21 Videos

Similar Questions

Explore conceptually related problems

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

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=13cm. Find the length of PQ.

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=12cm. Find length of PQ

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 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:

Find the length of the tangent to a circle with centre O and radius 6cm from a point P such that OP=10cm?

A tangent PQ at point P of a circle of radius 12 cm meets a line through the centre O to a point Q so that OQ = 20 cm . Length PQ is :

O is the centre of a circle of radius 8cm. The tangent at a point A on the circle cuts a line through O at B such that AB=15cm. Find OB.

In the figure, line l touches the circle with centre O at point P. Q is the midpoint of radius OP. RS is a chord thorugh Q such that chords RS || line l. If RS = 12 , find the radius of the circle.

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 O Q=12" "c m . Length PQ is : (A) 12 cm (B) 13 cm (C) 8.5 cm (D) sqrt(119) cm.

RD SHARMA-CIRCLES-All Questions

How many tangents can a circle have?
Text Solution
|
O is the centre of a circle of radius 8 cm. The tangent at a point ...
Text Solution
|
If the tangent at a point P to a circle with centre O cuts a lin...
Text Solution
|
A point P is 13cm from the centre of the circle. The length of the ...
Text Solution
|
Find the length of the tangent drawn from a point whose distance fr...
Text Solution
|
A circle is touching the side B C of A B C at P and touching A ...
Text Solution
|
In Fig. 10.19, the incircle of A B C touches the sides B C ,\ C...
Text Solution
|
In Fig. 10.20, the sides A B ,\ B C and C A of triangle A B C touc...
Text Solution
|
In Fig. 10.21, two circles touch each other at the point C . Prove ...
Text Solution
|
A circle touches all the four sides of a quadrilateral A B C D . Pr...
Text Solution
|
If all the side of a parallelogram touch a circle, show that the pa...
Text Solution
|
The radius of the incircle of a triangle is 4 cm and the segments i...
Text Solution
|
Prove that the tangents at the extremities of any chord make equal ...
Text Solution
|
Two tangents T P and T Q are drawn to a circle with centre O fro...
Text Solution
|
P Q is a chord of length 8 cm of a circle of radius 5 cm. The tange...
Text Solution
|
In Fig. 10.32, l and m are two parallel tangents at A and B . Th...
Text Solution
|
Prove that the angle between two tangents drawn from an external po...
Text Solution
|
Show that tangent lines at the end points of a diameter of a circle...
Text Solution
|
Two concentric circles are of radii 5 cm and 3 cm. Find the length ...
Text Solution
|
A circle touches the sides of a quadrilateral A B C D at P ,\ Q ,\ ...
Text Solution
|