Complex NumbersHard

Question

Value of ′a′ for which there exists exactly one complex number ′z′ satisfying |z - 4| = 2 and z = is -

Options

A.
B.
C.
D.

Solution

Writing the curves in terms of x & y
y = ax & (x - 4)2 + y2 = 4
for tangency |2a| = ⇒ a = ±

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