Let a circle C in complex plane pass through the points z₁ = 3 + 4i, z₂ = 4 + 3i and z₃ = 5i. If z(≠ z₁) is a point on C such that the line through z and z₁ is perpendicular to the line through z₂ and z₃, then arg(z) is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jun, Morning shift · Q3216

JEE Main 202225 Jun, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let a circle C in complex plane pass through the points

{z_1} = 3 + 4i

{z_2} = 4 + 3i

and

{z_3} = 5i

. If

z( \ne {z_1})

is a point on C such that the line through z and z₁ is perpendicular to the line through z₂ and z₃, then

arg(z)

is equal to :