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SURA PUBLICATION-COMPLEX NUMBERS-ADDITIONAL QUESTIONS (3 MARKS)
- Explain the falacy:
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- Find the circle roots of -27
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- Find the principal value of -2i
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- Show that |(z-3)/(z + 3)| = 2 represent a circle
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- Show that the complex numbers 3 + 2i, 5i, -3 + 2i, and -i form a squar...
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- If the complex number 2 + i and 1 - 2i are equidistant from x + iy the...
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- Find the locus of z if Re ((z + 1)/(z-i)) = 0 where z = x + iy
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- Find the locus of z if |3z - 5 | = 3 |z + 1| where z = x + iy
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- Find the locus of z if Re ((bar(z) + 1)/(bar(z) - i)) = 0.
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- If ((a + i)^(2))/(2a-i) = p + iq, show that p^(2) + q^(2) = (a^(2) + 1...
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