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Find the modulus and argument of the fol...

Find the modulus and argument of the following complex number and hence express them in the polar form: `(1+2i)/(1-3i)`

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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. Find the modulus and argument of the following complex number and henc...

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  2. Find the modulus and argument of the following complex number and henc...

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  3. Find the modulus and argument of the following complex number and henc...

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  4. Find the modulus and argument of the following complex number and henc...

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  5. Write (i^(25))^3 in polar form.

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  6. Write the values of the square root of idot

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  7. Write the values of the square root of -i.

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  8. If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2.

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  9. If pi < theta <2pi and z=1+costheta+isintheta , then write the value o...

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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. Write the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+...

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  12. Write 1-i in polar form.

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  13. Write 1+isqrt(3)\ in polar form.

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  14. Write the argument of idot

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

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  16. Find z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/6 where z represents a complex...

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  17. Write the value of sqrt(-25)xxsqrt(-9)dot

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

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  19. If |z+4|lt=3 then find the greatest and least values of |z+1|dot

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  20. For any two complex numbers z1\ a n d\ z2 and any two real numbers a ,...

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