In Fig. 4.166, `P B` and `Q A` are perpendiculars to segment `A Bdot` If `P O=5c m` , `Q O=7c m` and Area ` P O B=150\ c m^2` find the area of ` Q O A` . (FIGURE)

In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 c m , B O=6c m and P B=9c m . Find A Q . (FIGURE)

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)

If A B ,\ A C ,\ P Q are tangents in Fig. 10.51 and A B=5c m , find the perimeter of A P 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. 4.88, 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 Figure, A P\ a n d\ B Q are perpendiculars to the line segment A B\ a n d\ A P=B Q . Prove that O is the mid-point of line segment A B\ a n d\ P Q

In Fig. 15.69, A B and C D are two diameters of a circle perpendicular to each other and O D is the diameter of the smaller circle. If O A=7\ c m , find the area of the shaded region. (FIGURE)

In Fig. 10.67, O Q : P Q=3:4 and perimeter of P O Q=60 c m . Determine P Q ,\ Q R and O P . (FIGURE)

In Figure, /_A O B=90^0,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c mdot Find the area of A O Bdot