In Fig. 4.96, `(A O)/(O C)=(B O)/(O D)=1/2` and `A B=5c m` . Find the value of `D C` . (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

In Fig. 10.57, a circle is inscribed in a quadrilateral A B C D in which /_B=90o . If A D=23 c m , A B=29 c m and D S=5c m , find the radius r of the circle. (FIGURE)

In Fig.4.58,ABC is a triangle such that (AB)/(AC)=(BD)/(DC),/_B=70o,quad /_C=50o. Find /_BAD. (FIGURE)

A B C D is a trapezium such that B C || A D and A B=4c m . If the diagonals A C and B D intersect at O such that (A O)/(O C)=(D O)/(O B)=1/2 , then B C= 7c m (b) 8c m (c) 9c m (d) 6c m

In Fig. 4.128, D E F G is a square and /_B A C=90o . Prove that A G F D B G (ii) A G F E F C (FIGURE) (iii) D B G E F C (iv) D E^2=B DxxE C

In Fig.90, A O B is a straight line and the ray O C stands on it. The value of x is (a) 16 (b) 26 (c) 36 (d) 46

Find the value of lambda so that the points P ,Q ,R and S on the sides O A ,O B ,OC and A B , respectively, of a regular tetrahedron O A B C are coplanar. It is given that (O P)/(O A)=1/3,(O Q)/(O B)=1/2,(O R)/(O C)=1/3 and (O S)/(A B)=lambdadot (A) lambda=1/2 (B) lambda=-1 (C) lambda=0 (D) for no value of lambda

In a parallelogram A B C D diagonals A C\ a n d\ B D intersect at O\ a n d\ A C=6. 8\ c m\ a n d\ B D=5. 6 c m . Find the measures of O C\ a n d\ O D .

In Fig.92, A O B is a straight line such that /_A O C=(3x+10)^0,\ /_C O D=50^0 and /_B O D=(x-8)^0dot The value of x is (a) 32 (b) 36 (c) 42 (d) 52

In Fig. 15.99, a square O A B C is inscribed in a quadrant O P B Q of a circle. If O A=21\ c m , find the area of the shaded region. (FIGURE)