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MODERN PUBLICATION-COMPLEX NUMBERS-Exercise 5 (h) Long Answer Type Questions
- If z(1)=5-7i and z(2)=7-9i, verify: (i) |-z(1)|=|z(1)| (ii) |z(1)z...
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- If z is a complex number, show that |z|^2 = |z^2|
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- Show that if iz^3+z^2-z+i=0, then |z|=1
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- Find non zero integral solutions of |1-i|^x=2^xdot
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- If |z1|=|z2|=dot=|zn|=1, prove that |z1+z2+z3++zn|=1/(z1)+1/(z2)+1/(z3...
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- If z is a complex number such that |z|=1, prove that (z-1)/(z+1) is pu...
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- If z(1) and z(2)(ne0) are two complex numbers, prove that: (i) |z(1)...
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