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Complex Numbers question

2025 · 28 Jan · Shift 1 · Q44
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  5. /2025 · 28 Jan · Shift 1 · Q44

Complex Numbers question

2025 · 28 Jan · Shift 1 · Q44

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let OOO be the origin, the point AAA be z1=3+22iz_1=\sqrt{3}+2 \sqrt{2} iz1​=3​+22​i, the point B(z2)B\left(z_2\right)B(z2​) be such that 3∣z2∣=∣z1∣\sqrt{3}\left|z_2\right|=\left|z_1\right|3​∣z2​∣=∣z1​∣ and arg⁡(z2)=arg⁡(z1)+π6\arg \left(z_2\right)=\arg \left(z_1\right)+\frac{\pi}{6}arg(z2​)=arg(z1​)+6π​. Then
  1. A
    area of triangle ABO is 114\frac{11}{4}411​
  2. B
    area of triangle ABO is 113\frac{11}{\sqrt{3}}3​11​
  3. C
    ABO is a scalene triangle
  4. D
    ABO is an obtuse angled isosceles triangle
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