JEE MAIN - Mathematics (2021 - 17th March Morning Shift - No. 14)

The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :
1
$${1 \over 2}$$| z |2
$${1 \over 2}$$| z + iz |2
$${1 \over 2}$$

Explanation

JEE Main 2021 (Online) 17th March Morning Shift Mathematics - Complex Numbers Question 105 English Explanation
Each side length = |z|

Area of $$\Delta$$ = $${1 \over 2}$$ (area of square)

= $${1 \over 2}$$|z|2

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