Let C be the circle in the complex plane with centre z_0= 1 2 (1+3i) and radius r =1. Let z_1=1+i and the...

Question

Let C be the circle in the complex plane with centre z_0= 1 2 (1+3i) and radius r =1. Let z_1=1+i and the complex number z_2 be outside circle C such that |z_1-z_0||z_2-z_0|=1. If z_0, z_1 and z_2 are collinear, then the smaller value of |z_2|^2 is equal to

Accepted Answer

(A)

JEE Main 2023 Mathematics question

Solution