Solveeit Logo
Login

Question

Question: The maximum area of the triangle formed by the complex coordinates z, z<sub>1</sub>, z<sub>2</sub> w...

The maximum area of the triangle formed by the complex coordinates z, z1, z2 which satisfy the relations |z –z1| = |z –z2|, ∣z−(z1+z22)∣\left| z - \left( \frac{z_{1} + z_{2}}{2} \right) \right|£ 1 where r > |z1 –z2| is –

A

12\frac{1}{2}|z1–z2|2

B

12\frac{1}{2}|z1 –z2| r

C

12\frac{1}{2}|z1 –z2|2 r2

D

12\frac{1}{2}|z1 –z2| r2

Answer

12\frac{1}{2}|z1 –z2| r

Explanation

Solution

Sol. Area of D = 12\frac{1}{2}|z1 –z2| r