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Show that the points represented by the complex numbers `7+9i`, `-3+7i`, `3+3i` from a right angled triangle on the Argand diagram.

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`/_\ABC` is a right angled isosceles triangle.
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FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. Find the modulus or the absolute value of ((1 + 3i)(1 - 2i))/((3 + 4i)...

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

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  3. Show that the points represented by the complex numbers 7+9i, -3+7i, 3...

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  4. Find the square root of (-7 + 24i).

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Evaluate i^(50)

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  19. Evaluate i^(59)

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

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