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If the real part of (barz + 2)/(barz - 1...

If the real part of `(barz + 2)/(barz - 1)` is 4, then show that locus of the point representing z in the complex plane is a circle.

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FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. Find the square root of (-7 + 24i).

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  2. If the imaginary part of (2z + 1)/(iz + 1) is -2, then show that the l...

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  3. If the real part of (barz + 2)/(barz - 1) is 4, then show that locus o...

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  4. Show that |(z-3)/(z + 3)| = 2 represent a circle

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  5. If arg(z - 1) = pi/6 and arg(z + 1) = 2 pi/3 , then prove that |z| = 1...

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  6. P represents the variable complex number z. Find the locus of P, if Im...

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  7. P represents the variable complex number z find the locus of z if : ...

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  8. Write the following complex numbers in the polar form : 1- i

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  9. Find the modulus and principal argument of (1 + i) and hence express i...

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  10. Express the following complex numbers in the polar form. (i) (1 + i)...

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  11. Express the following complex numbers in the polar form : 2 + sqrt(3) ...

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  12. Find the modulus and principal argument of the following complex numbe...

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  13. Express the following complex numbers in the polar form : -1 - i

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  14. Express the following complex numbers in the polar form : 1 - i

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  15. Evaluate i^(50)

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  16. Evaluate i^(59)

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  17. Prove that : (1 + i)^(4n) and (1 + i)^(4n + 2) are real and purely ima...

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  18. If x = cos alpha + i sin alpha , y = cos beta + i sin beta, prove that...

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  19. If a = cos 2alpha + i sin 2 alpha, b = cos 2 beta + i sin 2 beta and c...

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  20. Solve : x^4 + 4 = 0

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