" If "z=x+iy,x,y" real,prove that "|x|+|y|<=sqrt(2)|z|

If z=x+iy,x,y real , then |x|+|y|lek|z| where k is equal to :

If z=x+iy,x,y real , then |x|+|y|lek|z| where k is equal to :

If z=x+ iy,x,y real,then |x|+|y|<=k|z| where k is equal to :

If z=x+iy prove that |\x|+|\y|lesqrt(2)|\z|

If z=x+iy prove that |backslash x|+||y|<=sqrt(2)|backslash z|

If z=x+iy then show that |x|+|y|lesqrt2|x+iy|.

If z=x+iy and |2z-1|=|z-2|," prove that" " " x^(2)+y^(2)=1.

If x, y, z are all positive real numbers, then prove that, If x+y+z=1 , then prove that (1-x)(1-y)(1-z)ge8xyz .

If z=x+iy"show that" |x|+|y|lesqrt2|z|