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. 4.144, we have A B C D E F . If A B=6c m , C D=x\ c m , E F=10 c m , B D=4c m and D E=y\ c m , calculate the values of x and y . (FIGURE)

In Fig. 6.32, if A B||C D , /_A P Q=50^@ and /_P R D=127^@ , find x and y.

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 Fig.38, A B C D\ and \ P Q R C are square such that A D=22\ c m\ a n d\ P C=y\ c mdot If the area of the shaded region is 403\ c m^2, then the value of y is (a)3 (b) 6 (c)9 (d) 10

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. 4.230, 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 Figure, a circle with centre O is inscribed in a quadrilatal A B C Ds u c ht h a t ,i ttou c h e ss i d e s BC, AB, AD na C D AT POINTS P, Q, R and S respectively. If A B=29c m ,A D=23 c m ,/_B=90^0 and D S=5c m , then the radius of the circle (in cm) is 11 (b) 18 (c) 6 (d) 15

In Figure, A B C D is a trapezium in which A B\ D C\ a n d\ D C=40\ c m\ a n d\ A B=60\ c mdot If X\ a n d\ Y are, respectively, the mid-points of A D\ a n d\ B C , prove that: a r\ (t r a pdotD C Y X)=9/(11)\ a r\ (t r a pdot(X Y B A)

In a A B C , A D is the bisector of /_B A C . If A B=8c m , B D=6c m and D C=3c m . Find A C 4c m (b) 6c m (c) 3c m (d) 8c m

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