If four sides of a quadrilateral `A B C D` are tangential to a circle, then `A C+A D=B D+C D` (b) `A B+C D=B C+A D` (c) `A B+C D=A C+B C` (d) `A C+A D=B C+D B`

A circle touches all the four sides of a quadrilateral A B C D . Prove that: A B+C D=B C+D A .

In Fig, if A D ,\ A E and B C are tangents to the circle at D ,\ E and F respectively. Then, (a) A D=A B+B C+C A (b) 2A D=A B+B C+C A (c) 3A D=A B+B C+C A (d) 4A D=A B+B C+C A

In Figure, diagonal A C of a quadrilateral A B C D bisects the angles A and C . Prove that A B=A D and C B=CD .

In the figure, diagonal A C of a quadrilateral A B C D bisects the angles A and C . Prove that A B=A D and C B=CD

In Fig. 10.78, if A D , A E and B C are tangents to the circle at D , E and F respectively. Then, (FIGURE) A D=A B+B C+C A (b) 2A D=A B+B C+C A (c) 3A D=A B+B C+C A (d) 4A D=A B+B C+C A

If the diagonal B D of a quadrilateral A B C D bisects both /_B and /_D , show that (A B)/(B C)=(A D)/(C D) .

If the diagonal B D of a quadrilateral A B C D bisects both /_B and /_D , show that (A B)/(B C)=(A D)/(C D) .

If A B C D is a quadrilateral in which A B C D and A D=B C , prove that /_A = /_B .

Construct a quadrilateral A B C D in which . A B = 7. 5 c m ,\ A C=A D=6c m ,\ C D=5c m\ a n d\ B D=10 c mdot

In an equilateral triangle A B C if A D_|_B C , then A D^2 = (a) C D^2 (b) 2C D^2 (c) 3C D^2 (d) 4C D^2