` A B C P Q R` such that `a r( A B C)=4a r( P Q R)dot` If `B C=12 c m` , then `Q R=` (a) 9cm (b) 10cm (c) 6cm (d) 8cm

P is the mid-point of side B C of a parallelogram A B C D such that /_B A P=/_D A Pdot If A D=10 c m ,\ then C D= 5cm (b) 6cm (c) 8cm (d) 10cm

A B C D is a trapezium in which A B D Cdot If a r( A B D)=24\ c m^2a n d\ A B=8\ c m , then height of A B C is 3 cm (b) 4 cm (c) 6 cm (d) 8 cm

In Fig. 10.87, two equal circles touch each other at T , if Q P=4. 5 c m , then Q R= (FIGURE) (a) 9cm (b) 18cm (c) 15cm (d) 13.5cm

In Fig. 10.79, R Q is a tangent to the circle with centre O . If S Q=6c m and Q R=4c m , then O R= (FIGURE) (a) 8cm (b) 3cm (c) 2.5cm (d) 5cm

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

The side A B of a parallelogram A B C D is produced to any point Pdot A line through A parallel to C P meets C B produced in Q and the parallelogram P B Q R completed. Show that a r(^(gm)A B C D)=a r(^(gm)B P R Q)dot CONSTRUCTION : Join A C and PQ. TO PROVE : a r(^(gm)A B C D)=a r(^(gm)B P R Q)

In Fig.9.28, A P" "||" "B Q" "||" "C R . Prove that a r" "(A Q C)" "=" "a r" "(P B R)dot

In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

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. 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