JEE Main 2016 · 9 Apr · Shift 1 · Mathematics Q62

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MathematicsSingle correct+4 / -1Question 62 of 90

The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there $2\sqrt2$ units in the south-westwards direction. Then its new position in the Argand plane is at the point represented by :

2 + 2i

1 + i

−1 − i

−2 − 2i

Answer and worked solution

Official answer: B

$(2+i)+1+2i-(2+2i)=1+i$ (south-west by $2\sqrt2$ is $-2-2i$ ).

Topics:Geometry in the complex plane

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JEE Main 2016 · 9 Apr · Shift 1, Mathematics question 62