JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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A\left(z_1\right), B\left(z_2\right), C\left(z_3\right)

are vertices of a triangle such that

z_3=\left(\frac{z_2-i z_1}{1-i}\right)

and

\left|z_1\right|=3,\left|z_2\right|=4

and

\left|z_2+i z_1\right|=\left|z_1\right|+\left|z_2\right|

then area of triangle ABC is

View answer and explanation

Correct option: D

\frac{25}{4}

Option D (

\frac{25}{4}

) is correct because the area of the triangle ABC is calculated using the collinearity of points and geometric properties of complex numbers.

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