" For any two complex numbers "z_(1)" and "z_(2)" and any real numbers "a" and "b,|az_(1)-bz_(2)|^(2)+|bz_(1)+az_(2)|^(2)" is equal to "

For any two complex numbers z_(1) & z_(2) and any two real numbers a , b |az_(1) - bz_(2)|^(2) + |bz_(1) + az_(2)|^(2) =

For any two complex numbers, z_(1),z_(2) and any two real numbers a and b, |az_(1)-bz_(2)|^(2)+|bz_(1)+az_(2)|^(2)=

For any two complex numbers z_(1),z_(2) and any real numbers a and b,|az_(1)-bz_(2)|^(2)+|bz_(1)+az_(2)|^(2)=...

For any two complex numbers, z_(1),z_(2) and any two real numbers a and b, |az_(1)-bz-(2)|^(2)+|bz_(1)+az_(2)|^(2)=

For any two complex numbers z_(1) and z_(2) and any real numbers a and b, prove that |az_(1)-bz_(2)|^(2) + |bz_(1) + az_(2)|^(2) = (a^(2) + b^(2)) [|z_(1)|^(2) + |z_(2)|^(2)]

Fill in the blanks of the following . (i) For any two complex numbers z_(1), z_(2) and any real numbers a, b, |az_(1) - bz_(2)|^(2) + |bz_(1) + az_(2)|^(2) =* * * (ii) The value of sqrt(-25) xxsqrt(-9) is … (iii) The number (1 - i)^(3)/(1 -i^(3)) is equal to ... (iv) The sum of the series i + i^(2) + i^(3)+ * * * upto 1000 terms us ... (v) Multiplicative inverse of 1 + i is ... (vi) If z_(1) "and" z_(2) are complex numbers such that z_(1) + z_(2) is a real number, then z_(1) = * * * (vii) arg(z) + arg barz "where", (barz ne 0) is ... (viii) If |z + 4| le 3, "then the greatest and least values of" |z + 1| are ... and ... (ix) If |(z - 2)/(z + 2)| =(pi)/(6) , then the locus of z is ... (x) If |z| = 4 "and arg" (z) = (5pi)/(6), then z = * * *

For any two complex numbers z_1 and z_2 and any real numbers a and b, [abs(az_1-bz_2)]^2+[abs(bz_1+az_2)]^2 =

For any two complex numbers z_(1) and z_(2) and any two real numbers a,b find the value of |az_(1)-bz_(2)|^(2)+|az_(2)+bz_(1)|^(2)

Fill in the blanks of the following For any two complex numbers z_(1),z_(2) and real numbers a,b|az_(1)-bz_(2)|^(2)+|bz_(1)+az_(2)|^(2)=....