⁠Complex Numbers | JEE Advanced 2025 PYQ |

Описание: Let R denote the set of all real numbers. Let z1 = 1 + 2i and z2 = 3i be two complex numbers,
where i = √-1. Let
S = {(x,y) E R x R : |x + iy - Z1l = 2|x + iy - z21 }.
Then which of the following statements is (are) TRUE?
(a)S is a circle with centre (-1/3,10/3)
(b)S is a circle with centre(1/3,8/3)
(c)S is a circle with radius √2/3
(d)S is a circle with radius 2√2/3

For a non-zero complex number z, let arg(z) denote the principal argument of z, with
-π arg(z) ≤ π. Let w be the cube root of unity for which 0 arg(w) π. Let
Then the value of 3α/π

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