QJEEM21Ma4304: JEE Main 2021 Mathematics - Class 11 JEEM21Ma4304 Solution: The equation arg ⁡ ( z − 1 z + 1 ) = π 4 represents a circle…

Question

Verified Solution • 2025–26 Session moderate

The equation

\arg (\frac{z - 1}{z + 1}) = \frac{π}{4}

represents a circle with :

Accepted Answer

In

Δ

OAC

\sin (\frac{π}{4}) = \frac{1}{A C}

\Rightarrow A C = \sqrt{2}

Also,

\tan \frac{π}{4} = \frac{O A}{O C} = \frac{1}{O C}

\Rightarrow

OC = 1

∴

centre (0, 1); Radius =

\sqrt{2}

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