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SURA PUBLICATION-COMPLEX NUMBERS-EXERCISE 2.5
- Find the modulus of the complex number (2i)/(3 + 4i)
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- Find the modulus of the complex number (2 - i)/(1 + i) + (1-2i)/(1 -...
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- Find the modulus of the complex number (1 - i)^(10)
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- Find the modulus of the complex number 2i(3 - 4i)(4 - 3i)
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- For any two complex number z(1) and z(2), such that |z(1)| = |z(2)| = ...
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- Which one of the points 10 - 8i, 11 + 6i is closest to 1 + i.
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- If |z| = 3, show that 7 le|z + 6 - 8i| le 13.
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- If |z| = 1, show that 2 le |z^(3) - 3| le 4.
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- If |z = (2)/(z)| = 2. show that the greatest and least value of |z| ar...
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- If z(1),z(2), and z(3) are three complex numbers such that |z(1)| = 1,...
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- If the area of the triangle formed by the vertices z, iz, and z + iz i...
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- Show that the equation z^(3) + 2 bar(z) = 0 has five solutions.
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- Find the square roots of (i) 4 + 3i
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- Find the square roots of - 6 + 8i
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- Find the square roots of - 5 - 12i.
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