In Fig. 10.83, if `A P=P B` , then (FIGURE) `A C=A B` (b) `A C=B C` (c) `A Q=Q C` (d) `A B=B C`

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 A B C~= P Q R and A B C is not congruent to R P Q , then which of the following not true: B C=P Q (b) A C=P R (c) A B=P Q (D) Q R=B C

In Fig. 10.103, a quadrilateral A B C D is drawn to circumscribe a circle such that its sides A B ,\ B C ,\ C D and A D touch the circle at P ,\ Q ,\ R and S respectively. If A B=x\ c m , B C=7c m , C R=3c m and A S=5c m , then x= (FIGURE) (a) 10 (b) 9 (c) 8 (d) 7

In Fig. 10.97, the sides A B ,\ B C and C A of triangle A B C , touch a circle at P ,\ Q and R respectively. If P A=4c m , B P=3c m and A C=11 c m , then length of B C is (FIGURE) (a) 11cm (b) 10cm (c) 14cm (d) 15cm

In Fig. 4.245, R S D B P Q . If C P=P D=11 c m and D R=R A=3c m . Then the values of x and y are respectively (FIGURE) 12 , 10 (b) 14 , 6 (c) 10 , 7 (d) 16 , 8

In Fig. 4.230, each of P A ,\ Q B ,\ R C and S D is perpendicular to l . If A B=6c m , B C=9c m , C D=12 c m and P S=36 c m , then determine P Q ,\ Q R and R S . (FIGURE)

In Fig. 4.136, A C B A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c m and A P=2. 8 c m , find C A and A Q . (FIGURE)

In Fig. 4.88, A C B ~ A P Qdot If B C=8c m , P Q=4c m , B A=6. 5 c m , A P=2. 8 c m , find C A and A Q . (FIGURE)

In Fig. 4.177, A C B A P Q . If B C=10 c m , P Q=5c m , B A=6. 5 c m and A P=2. 8 c m find C A and A Q . Also, find the area ( A C B): a r e a ( A P Q) . (FIGURE)

In A B C , /_A is obtuse, P B_|_A C and Q C_|_A B . Prove that: A BxxA Q=A CxxA P (ii) B C^2=(A CxxC P+A BxxB Q)