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A man walks a distance of 3 units from t...

A man walks a distance of 3 units from the origin towards the North-East `(N45^0E)` direction.From there, he walks a distance of 4 units towards the North-West `(N45^0W)` direction to reach a point `Pdot` Then, the position of `P` in the Argand plane is

A

`3e^(ipi//4)+4i`

B

`(3-4i)e^(ipi//4)`

C

`(4+3i)e^(ipi//4)`

D

`(3+4i)e^(ipi//4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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  3. A man walks a distance of 3 units from the origin towards the North-...

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  4. If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

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  5. If abs(z+4) le 3, the maximum value of abs(z+1) is

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  6. Let A, B, C be three sets of complex number as defined below: A={z:Img...

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  7. What is 5% Equals to

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  8. Express in the form of complex number i^9+i^(19)

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  9. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

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  10. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

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  11. Let z = x + iy be a complex number where x and y are integers. Then...

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  12. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

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  13. If |z-4/z|=2 then the greatest value of |z| is:

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  14. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  15. Find the value of 2^4

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  16. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

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  17. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  18. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  19. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

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  20. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

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