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If z1 = 4 - 7i , z2 = 2 + 3i and z3 = 1 ...

If `z_1 = 4 - 7i , z_2 = 2 + 3i and z_3 = 1 + i` show that
` z_1 + (z_2 + z_3) = (z_1 + z_2)+z_3`

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FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. For what values of x and y the numbers -3+ix^(2)y and x^(2)+y+4i and c...

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  2. Given x = 2 - 3i and y = 4 + i. Find (i) xy " "(ii) x + y " ...

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  3. If z1 = 4 - 7i , z2 = 2 + 3i and z3 = 1 + i show that z1 + (z2 + z3...

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  4. Given z1 = 1 + i, z2 = 4 - 3i and z3 = 2 + 5i verify that. z1(z2 - z...

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  5. Given z1 = 4 - 7i and z2 = 5 + 6i find the additive and multiplicative...

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  6. Express the following in the standard form a + ib. (2(i -3))/((1 + ...

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  7. Find the least positive integer n such that ((1 + i)/(1 - i))^(n) = 1.

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  8. Find x and y for which of the following is satisfied. ((1+i)x-2i)/(3...

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  9. Find the modulus and argument of the following complex numbers and con...

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  10. Find the square roots of -15 - 8i

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  11. Express the following in the standard form a + ib. (i^4 + i^9 + i^(16)...

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  12. Find the modulus or the absolute value of ((1 + 3i)(1 - 2i))/((3 + 4i)...

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

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

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

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

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

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

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

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

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