A cube `C={(x, y, z)|o le x, y, zle1}` is cut by a sharp knife along the plane `x=y, y=z, z=x`. If no piece is moved until all three cuts are made, the number of pieces is

If x=y^z,y=z^x,z=x^y then

Find the intercepts cut off by the plane 2x+y-z=5

If x , y , z are three sums of money such that y is the simple interest on x , z is the simple interest on y for the same time and at the same rate of interest, then we have x^2=y z (b) y^2=x z (c) z^2=x y (d) x y z=1

The number of solutions to x+y+z=10 , where 1le x, y, z le 6 and x, y, z in N , is equal to

Three positive distinct numbers x, y, z are three terms of geometric progression in an order and the numbers x + y, y + z, z + x are three terms of arithmetic progression in that order. Prove that x^x . y^y = x^y . Y^z . Z^x .

If A = {x, y, z}, then the relation R={(x,x),(y,y),(z,z),(z,x),(z,y)} , is

For all x, y and z in R , if x gt y and y gt z , then x gt z . This property is known as __________.

Three positive distinct numbers x,y,z are three terms of geometric progression in an order , and the number x+y,y+z,z+x are three terms of arithmetic progression in that order . Prove that x^(x).y^(y).z^(z)=x^(y).y^(z).z^(x)