If lies on (taken in order), where then:

Maths Complex Number General More Than One Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

Max. area of quadrilateral

The triangle

is right angled

The quadrilateral

is rectangle

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, c, d)

Given and

Since points lie on circle centered at origin and sum is zero ⇒ opposite vertices are negatives of each other:

So is a parallelogram inscribed in a circle ⇒ it is a rectangle.
Hence true.
Maximum area occurs when rectangle is a square:
Diagonal

So true.
Now since , diameter subtends at point (angle in semicircle). Thus triangle is right-angled.

So also true.

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