The figure formed by the points $(- i + 1), (2 + 2 i), (- 3 - i)$ in the Argand Plane is a triangle which is

equilateral

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right angled

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scalene

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isoceles

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Solution

The correct option is B scalene
Let $A (1, - 1)$ , $B (2, 2)$ and $C (- 3, - 1)$ be the three points on the Argand plane.
$A B = \sqrt{1 + 9} = \sqrt{10}$
$B C = \sqrt{25 + 9} = \sqrt{34}$
$A C = \sqrt{16} = 4$
Hence, the triangle is scalene

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