P Q is a tangent to a circle with centre...

`P Q` is a tangent to a circle with centre `O` at the point `P` . If `/_\ O P Q` is an isosceles triangle, then `/_O Q P` is equal to :

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, A P B is a tangent to a circle with centre O at point P . If /_Q P B=50^@ , then the measure of /_P O Q is (a) 100^@ (b) 120^@ (c) 140^@ (d) 150^@

If tangents P A and P B from a point P to a circle with centre O are inclined to each other at an angle of 80^o then /_P O A is equal to :

If TP and TQ are the two tangents to a circle with centre O so that /_P O Q=110^@ , then /_P T Q is equal to

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80^@ , then /_P O A is equal to

P Q is a tangent drawn from a point P to a circle with centre O and Q O R is a diameter of the circle such that /_P O R=120o , then /_O P Q is 60o (b) 45o (c) 30o (d) 90o

Two tangents T P and T Q are drawn to a circle with centre O from an external point T . Prove that /_P T Q=2/_O P Q .

In Fig. 10.101, P Q and P R are two tangents to a circle with centre O . If /_Q P R=46^o , then /_Q O R equals (a) 67^o (b) 134^o (c) 44^o (d) 46^o

From a point P , two tangents P A and P B are drawn to a circle with centre O . If O P= diameter of the circle, show that /_\ A P B is equilateral.

If P T is a tangent at T to a circle whose centre is O and O P=17 c m , O T=8c m , Find the length of the tangent segment P T .

RD SHARMA ENGLISH-CIRCLES-All Questions

If tangents P A and P B from a point P to a circle with centre O are i...
Text Solution
|
In figure, sides Q P and R Q of P Q R are produced to point S and T re...
Text Solution
|
P Q is a tangent to a circle with centre O at the point P . If /\ O P ...
Text Solution
|
Two equal circles touch each other externally at C and A B is a com...
Text Solution
|
A B C is a right angled triangle, right angled at B such that B C=6...
Text Solution
|
P Q is a tangent drawn from a point P to a circle with centre O ...
Text Solution
|
If four sides of a quadrilateral A B C D are tangential to a ci...
Text Solution
|
The length of the tangent drawn from a point 8cm away from the centr...
Text Solution
|
A B and C D are two common tangents to circles which touch each oth...
Text Solution
|
In Fig, if A D ,\ A E and B C are tangents to the circle at D ,\ E a...
Text Solution
|
In Figure, R Q is a tangent to the circle with centre O . If S Q=6c ...
Text Solution
|
In Figure, the perimeter of A B C is (a) 30cm (b) 60cm (c) 45cm (d...
Text Solution
|
In Figure, A P is a tangent to the circle with centre O such that O ...
Text Solution
|
A P and A Q are tangents drawn from a point A to a circle with cen...
Text Solution
|
At one end A of a diameter A B of a circle of radius 5cm, tangent X...
Text Solution
|
If P T is tangent drawn from a point P to a circle touching it at ...
Text Solution
|
In the adjacent figure, if A B=12 c m ,\ \ B C=8c m and A C=10 c m ,...
Text Solution
|
In Figure, if A P=P B , then (a) A C=A B (b) A C=B C (c) A Q=Q C (d) ...
Text Solution
|
In Figure, if A P=10 c m , then B P= (a) sqrt(91)c m (b) sqrt(127)c m...
Text Solution
|
In Figure, if quadrilateral P Q R S circumscribes a circle, then P D...
Text Solution
|