In Figure, B D C is a tangent to the g...

In Figure, `B D C` is a tangent to the given circle at point `D` such that `B D=30 c m` and `C D=7c m` . The other tangents `B E` and `C F` are drawn respectively from `B` and `C` to the circle and meet when produced at `A` making `B A C` a right angle triangle. Calculate (i) `A F` (ii) radius of the circle.

Text Solution

AI Generated Solution

Topper's Solved these Questions

ARITHMETIC PROGRESSIONS
RD SHARMA ENGLISH|Exercise All Questions|329 Videos
CONSTRUCTIONS
RD SHARMA ENGLISH|Exercise All Questions|32 Videos

Similar Questions

Explore conceptually related problems

In Figure, O is the centre of the circle and B C D is tangent to it at Cdot Prove that /_B A C+/_A C D=90^0 .

A B\ a n d\ C D are two chords of a circle such that AB=6\ c m ,\ C D=12\ c m If the distance between A B and C D is 3 c m find the radius of the circle.

A B\ a n d\ C D are two chords of a circle such that A B=6\ c m ,\ C D=12\ c m\ a n d\ A B || C D . If the distance between A B\ a n d\ C D is 3\ c m , find the radius of the circle.

Two equal chords A B and C D of a circle with centre O , when produced meet at a point E , as shown in Figure, Prove that B E=D E and A E=C Edot

In Figure, chord E D is parallel to the diameter A C of the circle. Given /_C B E=65^@, calculate /_D E C .

A ,\ B ,\ C ,\ D are four consecutive points on a circle such that A B=C Ddot Prove that A C=B D

A B C is a right angled triangle, right angled at B such that B C=6c m and A B=8c m . A circle with centre O is inscribed in A B C . The radius of the circle is (a) 1cm (b) 2cm (c) 3cm (d) 4cm

Two equal chords A B and C D of a circle with centre O , when produced meet at a point E , as shown in Figure. Prove that B E=D E and A E=C E .

Two equal chords A B and C D of a circle with centre O , when produced meet at a point E , as shown in Figure. Prove that B E=D E and A E=C Edot

A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that A B C is an equilateral triangle.

RD SHARMA ENGLISH-CIRCLES-All Questions

A B is a chord of length 16cm of a circle of radius 10cm. The tangen...
Text Solution
|
In Figure, P A and P B are tangents from an external point P to a ci...
Text Solution
|
In Figure, B D C is a tangent to the given circle at point D such th...
Text Solution
|
In Fig. 10.62, P O|Q O . The tangents to the circle at P and Q i...
Text Solution
|
The lengths of three consecutive sides of a quadrilateral circumscr...
Text Solution
|
In Fig. 10.67, O Q : P Q=3:4 and perimeter of P O Q=60 c m . De...
Text Solution
|
In Fig. 10.72, P A and P B are tangents to the circle drawn from...
Text Solution
|
What is the distance between two parallel tangents of a circle of r...
Text Solution
|
The length of a tangent from a point A at distance 5 cm from the ce...
Text Solution
|
Two tangents T P and T Q are drawn from an external point T to a...
Text Solution
|
What is the distance between two parallel tangents to a circle of r...
Text Solution
|
In Q. No. 1, if P B=10 c m , what is the perimeter of P C D ?
Text Solution
|
In Fig. 10.74, C P and C Q are tangents to a circle with centre ...
Text Solution
|
In figure ΔABC is circumscribing a circle. Find the length of BC
Text Solution
|
In Fig. 10.76, C P and C Q are tangents from an external point C...
Text Solution
|
Two concentric circles are of radii 5 cm and 3 cm. Find the length ...
Text Solution
|
In Figure, P A and P B are tangents to the circle with centre O such...
Text Solution
|
A tangent P Q at a point P of a circle of radius 5 cm meets a line thr...
Text Solution
|
From a point Q , the length of the tangent to a circle is 24cm and...
Text Solution
|
The length of the tangent from a point A to a circle, of radius 3cm, i...
Text Solution
|