JEE Main 2023 (12 Apr, Shift 1) Maths Q7: Let C be the…

Question

Let C be the circle in the complex plane with centre

z_0=\frac{1}{2}(1+3i)

and radius

r=1

. Let

z_1=1+i

and the complex number

z_2

be outside the 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

Official answer

Option 2

NTA final key.

Accepted Answer

Option 2: $\frac{5}{2}$

Answer

$\frac{3}{2}$

Answer

$\frac{5}{2}$

Answer

$\frac{7}{2}$

Answer

$\frac{13}{2}$

JEE Main 12 April 2023, Shift 1, Maths Q7