`If A = 1/ 3 B and B = 1/ 2 C ,then A : B : C = ?`

If (1)/(a)+(1)/(c )=(1)/(2b-a)+(1)/(2b-c) , then

If A=[[1,1,2],[1,3,4],[1,-1,3]], B=adj(A) and C=3A then (|adj(B)|)/(|C|) is

In Figure, A D_|_B C and B D=1/3C Ddot Prove that 2C A^2=2A B^2+B C^2

If |a|=1,|b|=3 and |c|=5 , then the value of [a-b" "b-c" "c-a] is

If a+b+c=1 , a^2+b^2+c^2=9 and a^3+b^3+c^3=1 , then 1/a + 1/b + 1/c is (i) 0 (ii) -1 (iii) 1 (iv) 3

If a+b+c=1 , a^2+b^2+c^2=9 and a^3+b^3+c^3=1 , then 1/a + 1/b + 1/c is (i) 0 (ii) -1 (iii) 1 (iv) 3

If A=[[1 ,2,-3],[ 5, 0, 2],[ 1,-1, 1]], B=[[3,-1, 2],[ 4, 2 ,5],[ 2, 0, 3]] and C=[[4, 1, 2],[ 0, 3, 2],[ 1,-2, 3]] , then compute (A+B) and (B - C) . Also, verify that A + (B - C) = (A + B) - C .

if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]and c=[{:(4,1,2),(0,3,2),(1,-2,3):}], then compure (A+B) and (B-C), Also , verify that A+(B-C)=(A+B)-C.

If in A B C ,A C is double of A B , then the value of cot(A/2)cot((B-C)/2) is equal to 1/3 (b) -1/3 (c) 3 (d) 1/2

If in A B C ,A C is double of A B , then the value of (cot(A/2))(cot((B-C)/2)) is equal to 1/3 (b) -1/3 (c) 3 (d) 1/2