JEE Main 2023 Mathematics question

Let a, b be two real numbers such that ab < 0. If the complex number is of unit modulus and a + ib lies on the circle |z – 1| = |2z|, then a possible value of , where [t] is greatest integer function is :

(A)–1Correct
(B)1
(C)
(D)

Answer: (A)

Solution

TOPIC NOT IN SYLLABUS: the source's own derivation yields (a,b) pairs where or

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Question ID VK-025527