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.10.80, the perimeter of ABC is ( FIGURE )( a) 30cm(b)60cm(c)45cm(d)15cm

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. 10.20, the sides A B ,\ B C and C A of triangle A B C touch a circle with centre O and radius r at P ,\ Q and R respectively. (FIGURE) Prove that: 1) AB + CQ = AC + BQ 2) Area (ABC) = (r/2)*(Perimeter of ABC)

In Fig.10.90,PR=( FIGURE ) (a) 20cm(b)26cm(c)24cm(d)28cm

If A B C D E F such that D E=3c m , E F=2c m , D F=2. 5 c m , B C=4c m , then perimeter of A B C is (a) 18cm (b) 20cm (c) 12cm (d) 15cm

In an isosceles triangle A B C , if A B=A C=25 c m and B C=14 c m , then the measure of altitude from A on B C is (a) 20cm (b) 22cm (c) 18cm (d) 24cm

In A B C , P and Q are points on sides A B and A C respectively such that P Q B C . If A P=4c m ,\ \ P B=6c m and P Q=3c m , determine B C .

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

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. 10.84, if A P=10 c m , then B P= (FIGURE) sqrt(91)c m (b) sqrt(127)c m (c) sqrt(119)c m (d) sqrt(109)c m