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If z = 2-3i, then show that z^2 - 4z + 1...

If `z = 2-3i`, then show that `z^2 - 4z + 13 = 0`

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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - 5.1(VERY SHORT ANSWER QUESTIONS)
  1. Find the multiplicative inverser of the following (3,4)

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  2. Find the multiplicative inverser of the following (sin theta,cos th...

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  3. Find the multiplicative inverser of the following (3 +i)/(1 +i)

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  4. Find the multiplicative inverser of the following i^(-35)

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  5. Find the multiplicative inverser of the following sqrt5 + 3i

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  6. Find the multiplicative inverser of the following -i

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  7. Find the modulus of the following (3-4i) (3 + 4i)

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  8. Find the modulus of the following (4 +3i)/(5-12i)

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  9. If (z(2))/(z(1))(z(1) ne 0) is an imaginary number, then find the valu...

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  10. If z = 5 + (3sqrt2) i, find zbarz.

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  11. Find the complex conjugate fo the following (3 + 4i)

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  12. Find the complex conjugate fo the following (15 + 3i) - (4-20i)

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  13. Write the conjugate of the complex numbers (2+5i)(-4+6i)

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  14. Write the conjugate of the following complex number (5i)/(7+i)

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  15. Find the complex conjugate fo the following (3 +4i) (2 - 3i)

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  16. If z = (cos theta, sin theta), find (z - 1/z)

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  17. If z = 2-3i, then show that z^2 - 4z + 13 = 0

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  18. If (a + ib)^2 = x + iy find x^2 + y^2

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  19. Find real and imaginary parts of the complex number (a + ib)/(a - ib)

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  20. In the Argrand plane, the points represented by the complex numbers 1+...

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