#complexnumbers
- If z1, z2 are complex numbers such that, 2z13z12z13z1is purely imaginary number, then finds |z1−z2z1+z2z1−z2z1+z2 | Answer: |(z₁-z₂)/(z₁+z₂)| = 1 (The condition in the question should read: 2z₁/3z₂ is purely imaginary, with z₂ ≠ 0 .) Since 2z₁/3z₂ is purel... 2
- If z is a complex number, then the minimum value of |z| + |z − 1| is ______. First, note that |-z|=|z| and |z1 + z2| ≤ |z1| + |z2| Now |z| + |z-1| = |z| + |1 - z| ≤ |z + (1 - z)| = |1| = 1 Hence, minimum value of |z|... 2
- Let A={θϵ(-π/2π):3+2isinθ/1-2isinθ is purely imaginary} then the sum of elements in A is The correct answer is D)2π/3 Detailed answer 1