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Find the multiplicative inverse of the c...

Find the multiplicative inverse of the complex number `2+9i`

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MODERN PUBLICATION-COMPLEX NUMBERS-OBJECTIVE TYPE QUESTIONS VERY SHORT ANSWER TYPE QUESTIONS (D)
  1. Simplify: sqrt((-x)/(16))+sqrt((-x)/(25))-sqrt((-x)/(36)), where 'x' i...

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  2. For any positive integer n, find the value of i^(n)+i^(n+1)+i^(n+2)+i^...

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  3. Find the multiplicative inverse of the complex number 2+9i

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  4. Write the following in the form x+iy: i^(9)+i^(10)+i^(11)+i^(12).

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  5. Write the square of (i)/(1+i) in the form x+iy.

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  6. Write the conjugate of (-2-(1)/(3)i)^(3).

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  7. Write the additive inverse of (sqrt(6)+5i)(sqrt(6)-(1)/(5)i).

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  8. Find the multiplicative inverse of the complex number 4" "" "3i

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  9. If x+iy=sqrt((a+ib)/(c+id)), then find the value of x^(2)+y^(2).

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  10. If n is any positive integer, write the value of (i^(4n+1)-i^(4n-1))/2...

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  11. If z=3+4i, then find |z| and z^(-1).

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  12. Find the square roots of the following: i

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  13. Evaluate x^(2)+4x+7 when x=-2+sqrt(-3).

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  14. Write the argument of -i.

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  15. Find the principal argument of (1+isqrt(3))^2dot

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  16. Find the value of z, if |z |= 4 and arg (z) = (5pi)/(6).

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  17. Write the value of a r g(z)+a r g( z ) .

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  18. Write the argument of (1+sqrt(3))(1+i)(costheta+isintheta)dot

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  19. Write -1+sqrt(3)\ in polar form.

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  20. If pi lt theta lt 2pi and z=1+costheta+isintheta, then find the value ...

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