In Fig. 4.13, `L M A Bdot` If `A L=x-3,\ \ A C=2x ,\ \ B M=x-2` and `B C=2x+3` , find the value of `x` . (FIGURE)

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=8x-7, D B=5x-3, A E=4x-3 and E C=(3x-1) , find the value of x . (ii) If A D=4x-3, A E=8x-7, B D=3x-1 and C E=5x-3 , find the volume x . (iii) If A D=2. 5 c m , B D=3. 0 c m and A E=3. 75 c m , find the length of A C .

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=2 c m , A B=6 c m and A C=9 c m , find A E . (ii) If (A D)/(B D)=4/5 and E C=2. 5 c m , find A E . (iii) If A D=x , D B=x-2 , A E=x+2 and E C=x-1 , find the value of x .

A=2x+3xy+7x^(2),B=3x-2y-5x^(2) and C=2xy-6x^(2)-3x . Find the value of A+B+C.

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)

If A=2x^(3)-3x^(2)-4x+5, B=2x^(2)-x^(3)+1 and C=x^(2)+x+2 , then find the degree of A+2B-C.

If [(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)] , find the value of bdot

In Fig. 21, A B C D is a parallelogram, D L_|_A Bdot If A B=20\ c m , A D=13\ c m and area of the parallelogram is 100 c m^2 find A Ldot

If 2x+3 = 9 then find the value of 3x+2 A. 12 B. 16 C. 13 D. 11