Let the lines (2 - i)z = (2 + i) z and (2 + i)z + (i - 2) z - 4i = 0, (here i² = - 1) be normal to a circle C. If the line iz + z + 1 + i = 0 is tangent to this circle C, then its radius is:

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Morning shift · Q3184

JEE Main 202125 Feb, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let the lines (2

-

i)z = (2 + i)

\overline z

and (2

+

i)z + (i

-

\overline z

-

4i = 0, (here i² =

-

1) be normal to a circle C. If the line iz +

\overline z

+ 1 + i = 0 is tangent to this circle C, then its radius is :