If `|{:(4,-4,0),(a,b+4,c),(a,b,c+4):}|=0`, then `a+b+c` is equal to

If a: b=b:c, then a^(4): b^(4) is equal to

Let a ,b , c in R such that no two of them are equal and satisfy |{:(2a, b, c),( b, c,2a),( c,2a, b):}|=0, then equation 24 a x^2+4b x+c=0 has

If a : b = b : c, then a^4 : b^4 is equal to____

If A=|(a, b, c), (c, a, b), (b, c, a)| and a, b, c are roots of equation x^(3)+x^(2)-4=0, then A A^(T) is equal to

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.