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Question: The greatest positive argument of complex no. satisfying \|z –4\|= Re (z) is-...

The greatest positive argument of complex no. satisfying |z –4|= Re (z) is-

A

π3\frac{\pi}{3}

B

2π3\frac{2\pi}{3}

C

π2\frac{\pi}{2}

D

π4\frac{\pi}{4}

Answer

π4\frac{\pi}{4}

Explanation

Solution

Sol. Q |z –4| = Re(z) represent parabola with focus (4, 0) and imaginary axis as directrix. Pair of tangents from directrix are at 90°.

\ Greatest positive argument is π4\frac{\pi}{4}