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Maths Complex Number General Single Correct MCQ
Published on: August 13, 2026

Given that the complex numbers which satisfy the equation form a rectangle in the Argand plane with the length of its diagonal having an integral number of units, then

A
area of rectangle is 48 sq. units
B
if are vertices of rectangle, then
C
rectangle is symmetrical about the real axis
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
A

(a, b, c)

Let where satisfy the given equation. Hence,

and (as all other possibilities will give non-integral solutions)
Hence, possible values of will be , and . Clearly, it will form a rectangle having length of the diagonal 10.

From the diagram, options , , are correct.

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