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MODERN PUBLICATION-COMPLEX NUMBERS-REVISION EXERCISE
- If z1=2-i ,\ z2=1+i , find |(z1+z2+1)/(z1-z2+i)|
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- If a+i b=((x+i)^2)/(2x^2+1), prove that a^2+b^2=((x^2+1)^2)/((2x^2+1)^...
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- Find the modulus of (1+i)/(1-i)-(1-i)/(1+i)
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- Find the modulus and argument of the complex number (1+2i)/(1-3i).
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- Convert z=(i-1)/("cos"(pi)/(3)+"isin"(pi)/(3)) in polar form.
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- If z(1)=-3i,z(2)=3+4i and z(3)=2-3i, verify that z(1)(z(2)+z(3))=z(1)z...
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- If (a+ib)/(c+id)=x+i y, prove that(i) (a-ib)/(c-id)=(x-iy) (ii) (a^2...
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- If a^2+b^2=1.Then (1+b+ia)/(1+b-ia)=
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- Solve: (i) 3x^(2)-4x+(20)/(3)=0. (ii) x^(2)-2x+(2)/(3)=0.
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- Solve: (i) 27x^(2)-10x+1=0. (ii) 21x^(2)-28x+10=0.
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- Given that: (a(1)+ib(1))(a(2)+ib(2)) . . . (a(n)+ib(n))=c+id, show...
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- Show that the area of the triangle on the Argand diagram formed by the...
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