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MCQMediumJEE Main 2025 · 28 January, Shift 1Modulus & Argument

Mathematics Question from JEE Main 2025 · 28 January, Shift 1

Let O be the origin, the point A be z1=3+22iz_1 = \sqrt{3} + 2\sqrt{2}i, the point B z2z_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:

  • A

    ABO is a scalene triangle

  • B

    Area of triangle ABO is 114\frac{11}{4}

  • C

    ABO is an obtuse angled isosceles triangle

  • D

    Area of triangle ABO is 113\frac{11}{\sqrt{3}}

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