If a, b, c, x, y and z be real numbers and ` x^(2)+y^(2)+z^(2)=16` `a^(2)+b^(2)+c^(2)=9` `ax+by+cz=12`; the value of `[a^(3)+b^(3)+c^(3)]^(1/3) / [x^(3)+y^(3)+z^(3)]^(1/3)` is

If a, b, c, x, y and z be real numbers and x^(2)+y^(2)+z^(2)=16 , a^(2)+b^(2)+c^(2)=9 and ax+by+cz=12 ; the value of ((a^(3)+b^(3)+c^(3))^((1)/(3)))/((x^(3)+y^(3)+z^(3))^((1)/(3))) is

If b+c = 2x, c+a =2y and a +b =2z then value of a^(3) +b^(3) +c^(3) is

If a=x-y,b=y-z and c=z-x then the value of a^(3)+b^(3)+c^(3)

If a, b, c, x, y, z are real and a^(2)+b^(2) + c^(2)=25, x^(2)+y^(2)+z^(2)=36 and ax+by+cz=30 , then (a+b+c)/(x+y+z) is equal to :

Let a,b,c,x,y,z be real.Given a^(2)+b^(2)+c^(2)=4,x^(2)+y^(2)+z^(2)=9 and ax+by+cz>=6, then the value of expression (a+2b+3c)/(x+2y+3z) is (A)(1)/(3)(B)3(C)(2)/(3) (D) (1)/(2)

If x.y,z are positive real numbers such that x^(2)+y^(2)+z^(2)=27, then x^(3)+y^(3)+z^(3) has

If x + y + z = 12, x^(2) + Y^(2) + z^(2) = 96 and (1)/(x)+(1)/(x)+(1)/(z)= 36 . Then find the value x^(3) + y^(3)+z^(3).

The value of the expression ((x ^(2) - y ^(2)) ^(3) + ( y ^(2) - z ^(2)) ^(3) + (z ^(2) - x ^(2)) ^(3))/((x - y) ^(3) + ( y - z) ^(3) + (z - x ) ^(3)) is