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Jee Main 2025 — Medium JEE math MCQ

Let \( O \) be the origin, the point \( A \) be \( z_1 = \sqrt{3} + 2\sqrt{2}i \), the point \( B(z_2) \) be such that \( \sqrt{3} |z_2| = |z_1| \) and \( \arg(z_2) = \arg(z_1) + \frac{\pi}{6} \). Then
  1. A. area of triangle ABO is \( \frac{11}{3} \)
  2. B. ABO is an obtuse angled isosceles triangle
  3. C. area of triangle ABO is \( \frac{11}{4} \)
  4. D. ABO is a scalene triangle

Solution

The correct option is **B**. (B. ABO is an obtuse angled isosceles triangle)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let O O be the origin, the point A A be z1=3+22i z_1 = \sqrt{3} + 2\sqrt{2}i , the point B(z2) B(z_2) be such that 3∣z2∣=∣z1∣ \sqrt{3} |z_2| = |z_1| and arg⁡(z2)=arg⁡(z1)+π6 \arg(z_2) = \arg(z_1) + \frac{\pi}{6} . Then
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep