If `z_1 and z_2` are two complex number and a, b, are two real number then `|a z_1-b z_2|^2+|b z_1+a z_2|^2` equals

Fill in the blanks . If z_1 and z_2 are two complex numbers such that a,b,|az_(1) - bz_(2) |^(2) + |bz_(1) + az_(2)|^(2) = …

Fill in the blanks . If z_1 and z_2 are two complex numbers such that a,b,|az_(1) - bz_(2) |^(2) + |bz_(1) + az_(2)|^(2) = …

If z_1 and z_2 are two complex numbers and c >0 , then prove that |z_1+z_2|^2lt=(1+c)|z_1|^2+(1+c^(-1))|z_2|^2dot

For any two complex numbers z_1\ a n d\ z_2 and any two real numbers a ,\ b find the value of |a z_1-b z_2|^2+|a z_2+b z_1|^2dot

If z_1 , and z_2 be two complex numbers prove that z_1barz_1=|z_1|^2