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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
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- If |z1|=1,|z2|=2,|z3|=3and |9z1z2+4z1z3+z2z3|=12 , then the value of |...
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- If (1+costheta-isintheta)(1+cos2theta+isin2theta)=x+iy then x^2+y^2 =
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- sqrt(4ab - 2i (a^(2) - b^(2) ) =
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- If z = 2 + 3i , then zbar(z) =
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- If z = 3 + i , then (z+1)(barz+1)=
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- If z=3-5i Show that z^(3)-10z^(2)+58z-136=0
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- If x=-5+4i then x^4+9x^3+35x^2-x+4=
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- If z = 3 + 5i then z^3+barz+198=
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- Let z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=
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- If the first term and common ratio of a G.P are both (1//2) (sqrt(3)+i...
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- sum(n=0)^oo((2i)/(3))^n=
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- If (a1+ib1)(a2+ib2)......(an+ibn)=A+iB, "then "Tan^(-1)(b1/a1)+Tan^(-1...
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- The real value of theta for which the expression (1 -isin theta)/(1 + ...
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- If (1-sintheta)/(1+2isintheta) is purely imaginary then theta=
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- If (3+2isintheta)/(3-2isintheta) is real , then theta =
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