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A man walks a distance of 3 units from the origin towards the north-east( N 45 degrees E) direction. From there he walks a distance of 4 units towards the north-west ( N 45 degrees W) direction to reach a point P.Then the position of P in the Argand plane is:

Ans. given is (3+4i)e^(i.pi/4)

Sagar Kumar , 8 Years ago
Grade 12th pass
anser 1 Answers
Vikas TU

Last Activity: 8 Years ago

If z is the complex number then,
(z – 3e^i*pi/4)/(0 – 3*e^ipi/4) = (4/3)*e^-i*pi/2 = -4i/3
solving we get,
z = (3 + 4i)*e^ipi/4

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