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SURA PUBLICATION-COMPLEX NUMBERS-EXERCISE 2.4
- Write in the rectangular form bar((5 + 9i) + (2-4i))
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- Write in the rectangular form (10-5i)/(6 + 2i)
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- Write in the rectangular form bar(3i) + (1)/(2 - i)
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- If z = x + iy, find in rectangular form. Re((1)/(z))
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- If z = x + iy, find in rectangular form. Re(bar(iz))
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- If z = x + iy, find in rectangular form. Im (3z + 4bar(z) - 4i)
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- If z(1) = 2 - i and z(2) = -4 + 3i, find the inverse of z(1)z(2) and (...
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- The complex numbers u, v and w are related by (1)/(u) = (1)/(v) + (1)/...
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- Prove the following properties: z is real if and only if z = bar(z)
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- Prove the following properties: Re(z) = (z + bar(z))/(2) and Im(z) =...
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- Find the least value of the positve interger n for which (sqrt(3) + i)...
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- Find the least value of the positve interger n for which (sqrt(3) + i)...
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- Show that ( 2 + i sqrt(3))^(10) - (2 - i sqrt(3))^(10)is purely imag...
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- Show that ((19- 7i)/(9 + i))^(12) + ((20 - 5i)/(7 - 6i))^(12) is rea...
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