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If |z| = 2 and arg z = (pi)/4 then z = ....

If |z| = 2 and arg `z = (pi)/4` then z = ........

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The correct Answer is:
`sqrt2 +sqrt2i`
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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Complex numbers and Quadratic Equations (Fill in the Blanks)
  1. If z = (x,-y) then point (x,y) with respect to real axis is called.

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  2. What is the general form of the points which lie on X-axis?

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  3. If |z| = 2 and arg z = (pi)/4 then z = ........

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  4. (1+i)^(4)+(1-i)^(4) = ........ .

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  5. Find argument of the complex numbers z = sqrt3 + i

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  6. If (2+5i) z = (3 - 7 i) then z = ......... .

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  7. If ((1+i)/(1-i))^(100)=x +iy then (x,y) = .......

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  8. Conjugate of the complex number is 1/(1-i) then complex number is .......

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  9. arg (-1) = .........

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  10. In Argand figure complex number (1+2i)/(1-i) lies in ......... quadren...

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  11. If z = x + iy and x +iy= (a+ib)/(a-ib) then x^2+y^2=1.

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  12. ......... is the minimum value of n such that (1+i)^(2n) = (1 - i)^(2n...

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  13. For some integer k, i^(4k)+i^(4k+1)+i^(4k+2)+i^(4k+3) = ..........

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  14. (1-i)-(-1+i6)=.........

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  15. Multiplicative inverse of complex number z = 2 - 3i is ............

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  16. Express (5-3i)^(3) in the form a+ib.

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  17. z = (1+i)/(1-i) then z^4 = .......... .

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  18. If |z1|=|z2|=|z3|=|(1)/z1+1/z2+1/z3|=1 then |z1+z2+z3| = ...... .

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  19. If one complex number is in third quadrent then its conjugate complex ...

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  20. Complex number with magnitude 2 and argument (2pi)/3 is = .......... .

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