Z is a complex number. If `a = |x| + |y| and b = sqrt2 |x+ iy|` then which of the following is true -

Z is a complex number.If a=|x|+|y| and b=sqrt(2)|x+iy| then which of the following is true- -

If z_(1) and z_(2) are two complex numbers, then which of the following is true ?

Let Z=x+iy is a complex number, such that x^(2)+y^(2)=1. In which of the following cases (Z)/(1-Z)" "("for "x ne1) lies in the "II"^("nd") quadrant? (AA x,y in R, i^(2)=-1)

Let Z=x+iy is a complex number, such that x^(2)+y^(2)=1. In which of the following cases (Z)/(1-Z)" "("for "x ne1) lies in the "II"^("nd") quadrant? (AA x,y in R, i^(2)=-1)

If z = x + iy is a complex number such that |z + 2| = |z - 2|, then the locus of z is

The modulus of complex number z=x+iy will be

If z=x+iy is a complex number with x, y in Q and |z| = 1 , then show that |z^(2n)-1| is a rational numberfor every n in N .

If z=x+iy is a complex number with x, y in Q and |z| = 1 , then show that |z^(2n)-1| is a rational numberfor every n in N .

If z=x+iy is a complex number with x, y in Q and |z| = 1 , then show that |z^(2n)-1| is a rational numberfor every n in N .

If z is a complex number with |z|=1 and z+(1)/(z)=x+iy , then xy=