Two equal circles touch each other externally at `C` and `A B` is a common tangent to the circles. Then, `/_A C B=` `60o` (b) `45o` (c) `30o` (d) `90o`

Two circles touch each other externally at P . A B is a common tangent to the circle touching them at A and B . The value of /_A P B is (a) 30^o (b) 45^o (c) 60^o (d) 90^o

3 circles of radii a, b, c (a lt b lt c) touch each other externally and have x-axis as a common tangent then

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

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 .

. In the given figure, two equal circles, with centres O and O', touch each other at X. OO' produced me the circle with centre O' at A. AC is tangent to the circle with centreO, at the point C. O'D is perpendicular to AC. Find the value of (DO')/(CO) .

. In the given figure, two equal circles, with centres O and O', touch each other at X. OO' produced me the circle with centre O' at A. AC is tangent to the circle with centreO, at the point C. O'D is perpendicular to AC. Find the value of (DO')/(CO) .

If P T is tangent drawn from a point P to a circle touching it at T and O is the centre of the circle, then /_O P T+/_P O T= (a) 30^@ (b) 60^@ (c) 90^@ (d) 180^@

In Figure, A B=C B\ a n d\ O is the centre of the circle. Prove that B O bisects /_A B C .

In Figure, it is given that O is the centre of the circle and /_A O C=150^@ . Find /_A B C

In an isosceles triangle A B C if A C=B C and A B^2=2A C^2 , then /_C= 30o (b) 45o (c) 90o (d) 60o