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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If alpha,a n dbeta be the roots of the equation x^2+p x-1//2p^2=0,w h ...
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- If z1,z2,z3 are complex numbers such that 2/z1=1/z2 + 1/z3, show that ...
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- Find the range of f(x)(x^2-x+1)/(x^2+x+1)
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- If ((3-z1)/(2-z1))((2-z2)/(3-z2))=k(k >0) , then prove that points A(z...
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- x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. ...
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- If (x+i y)^5=p+i q , then prove that (y+i x)^5=q+i pdot
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- If alpha,beta are the nonzero roots of a x^2+b x+c=0 and alpha^2,beta^...
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- Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...
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- If the roots of the equation a x^2+b x+c=0 are of the form (k+1)/k and...
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- Prove that tan(iloge((a-ib)/(a+ib)))=(2ab)/(a^2-b^2) (where a, b in ...
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- If alpha,beta are the roots of a x^2+b x+c=0a n dalpha+h ,beta+h are t...
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- Find the real part of (1-i)^(-i)dot
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- The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will h...
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- Convert of the complex number in the polar form: 1-i
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- If alpha,beta are the roots of a x^2+c=b x , then the equation (a+c y)...
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- If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r sintheta)
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- If the roots of the equation x^2+2a x+b=0 are real and distinct and th...
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- Z1!=Z2 are two points in an Argand plane. If a|Z1|=b|Z2|, then prove t...
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- If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratio of r...
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- Find real value of x and y for which the complex numbers -3+i x^2y ...
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