If at least one value of the complex number z=x+iy satisfy the condition |z+ 2|= a^2-3a+2 and the inequality |z+i 2 |<a, then

JEE Main Mathematics question

If at least one value of the complex number satisfy the condition and the inequality , then

(A)Correct
(B)
(C)
(D)None of these

Answer: (A)

Solution

The first condition is a circle with centre and radius ; the second is the open disc with centre and radius ; the centres are apart. Some point of the circle lies in the open disc iff the least distance from

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Question ID VK-013924