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

Find the minimum value of x which the expression  
x³-7x²+11x - 5 ≥ 0.

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

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

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

If a\b + b\a =1, then the value of a³+b³ will be 

If x = 2 then the value of $$ x^3 + 27x^2 + 243x + 631$$ is: