Let O be the origin, the point A be z₁ = √(3) + 2 √(2) i, the point B(z₂) be such that √(3) |z₂| = |z₁| and arg (z₂) = arg (z₁) + (π)/2. Then

(B) ABO is an obtuse angled isosceles triangle

(A) area of triangle ABO is 11/(√(3))

(C) area of triangle ABO is 11/4

Complex Numbers and Quadratic Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q151

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

O

be the origin, the point

A

z_1 = \sqrt{3} + 2 \sqrt{2} i

, the point

B(z_2)

be such that

\sqrt{3} |z_2| = |z_1|

and

\arg(z_2) = \arg(z_1) + \frac{\pi}{2}

. Then