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Complex Numbers question

2007 · Shift 1 · Q30

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2007 · Shift 1 · Q30

Complex Numbers question

2007 · Shift 1 · Q30

JEE AdvancedMathematicsComplex NumbersMCQ+3 / −1

A man walks a distance of 3 units from the origin towards the north-east (N 45

^\circ

E) direction. From there, he walks a distance of 4 units towards the north-west (N 45

^\circ

W) direction to reach a point P. Then the position of P in the Argand plane is

A
$3{e^{i\pi /4}} + 4i$
B
$(3 - 4i){e^{i\pi /4}}$
C
$(4 + 3i){e^{i\pi /4}}$
D
$(3 + 4i){e^{i\pi /4}}$

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