JEE Mains Model Paper 13

|z1| = |z2| = |z3| = 1 ⇒ Circum centre of triangle is origin
Also orthocenter which coincide with circum centre [∵ z1+z2+z3 = 0]
∴ Δle is equilateral
Since length of side is a = √3 ; Area =

√3

4

a2 =

3√3

4