A man walks a distance of 3 units from the origin towards the North-East ( N 4 5 ∘ E ) direction. From there, he walks a distance of 4 units towards the North-West ( N 4 5 ∘ W ) direction to reach a p

Question

A man walks a distance of 3 units from the origin towards the North-East ( N 4 5 ∘ E ) direction. From there, he walks a distance of 4 units towards the North-West ( N 4 5 ∘ W ) direction to reach a point P . Then, the position of P in the Argand plane is

TestHub · Accepted Answer

Let O A = 3 , so that the complex number associated with A is 3 e iπ /4 . If z is the complex number associated with P , then ⇒ ⇒ ​ 3 z − 9 e iπ /4 z ​ 0 − 3 e iπ /4 z − 3 e iπ /4 ​ = 12 i iπ /4 z ​ = 3 4 ​ e − iπ /2 = − 3 4 i ​ = ( 3 + 4 i ) e iπ /4 ​

Mathematics - Complex Number Question with Solution | TestHub

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