If x²+y²+z² = xy + yz + zx, then the value of $${3x^4+7y^4+5z^4}\over{5x^2y^2+7y^2z^2+3z^2x^2} $$ is

What is the area (in sq. cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm ?

If a=34, b=c=33, then the value of a3+b3+c3-3abc is 

Given that 10^0.48 = x, 10^0.70 = y and x² = y², then the value of z is close to

If p=99, then the value of p(p²+3p+3) will be

If (x+y+z)=12, xy+yz+zx=44 and xyz=48, then what is the value of x³+y³+z³=?

If a=x+y, b=x-y, c=x+2y, then $$ {a^2+b^2+c^2}-ab-bc-ca $$ is

Three positive numbers are in the ratio of 11 : 12 : 15. If the sum of the squares of those numbers is 1960, then the sum of the numbers is