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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
- Express the following in the polar form : -1 -i.
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- Express 1+isqrt3 in polar form.
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- Express the following in the polar form : (-16)/(1+ sqrt3 i).
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- Show that for z in C, |z|=0 if and only if z=0.
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- If z= x + iy, x, y real, prove that : |x|+|y| le sqrt2 |z|.
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- Define addition and multiplication of two complex numbers z1 and z2. H...
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- Define addition and multiplication of two complex numbers z1 and z2. H...
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- If z1,z2 in C, show that (z1+ z2)^2= z1^2+2 z1 z2+ z2^2.
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- Prove that |z1+ z2|^2= |z1|^2+ |z2|^2 if and only if (z1/z2) is purely...
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- Solve the following equation : x^2 +2=0.
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- Solve the following equation : x^2+x+1=0.
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- Solve the following equation :- 2x^2 + x + 1 = 0
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- Solve the following equation :- -x^2 + x -2 = 0
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- Solve the following equation :- x^2 + 3x + 5 = 0
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- Solve the following equation :- x^2 -x + 2 = 0
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- Solve the following equation : sqrt2 x^2+x+sqrt2=0.
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- Solve the following equation : sqrt3 x^2-sqrt2x+3 sqrt3=0.
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- Solve the following equation : sqrt5 x^2+x+ sqrt5=0.
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- Solve the following equation :- x^2 + x+1/sqrt2 = 0
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- Solve the following equation :- x^2 + x/sqrt2+1 = 0
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