If `A=|[a, b], [c ,d]|` , find `a d j\ A` .

If A=|[3, 0,-1], [2, 3 ,0], [0, 4, 1]| , then find |a d j\ (a d j\ A)| .

If A=[(a , b),( c, d)] , B=[(1 ,0),( 0, 1)] , find a d j\ (A B) .

If A=[[a, b],[ c ,d]] , then a d j\ A is (a) [[-d,-b],[-c, a]] (b) [[d,-b],[-c ,a]] (c) [[d, b],[ c, a]] (d) [[d, c],[ b ,a]]

If (a + b + c + d) (a - b - c + d) = (a + b - c - d) (a - b + c - d) , prove that: a : b = c : d .

In a /_\ A B C , A D is the bisector of /_A , meeting side B C at D . (i) If B D=2. 5 c m ,\ \ A B=5c m and A C=4. 2 c m , find D C . (ii) If B D=2c m ,\ \ A B=5c m and D C=3c m , find A C . (iii) If A B=3. 5 c m , A C=4. 2 c m and D C=2. 8 c m , find B D .

In Figure, If A B || C D ,\ C D || E F\ a n d\ y : z=3:7, find x .

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 . .

Let A={a , b , c , d},\ B={a , b , c}a n d\ C={b , d} . Find all sets X such that: XsubB\ a n d\ XsubCdot

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=6\ c m , D B=9\ c m and A E=8\ c m , find A C .

If a: b= 2: 3, b: c= 4: 5 and c: d= 6: 7 , find : a: b: c:d .