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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/...
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- If omega is the imaginary cube root of 1 then prove that (a+bomega+com...
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- The number of the real solutions of the equation x^2-3absx+2=0 is
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- If |z-1| + |z + 3| le 8, then prove that z lies on the circle.
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- If z1a n dz2 are the complex roots of the equation (x-3)^3+1=0,t h e n...
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- If the quadratic equation a x^2+b x+6=0 does not have real roots and b...
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- If the equation |z-a|+|z-b|=3 represents an ellipse and a ,b in C ,w ...
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- If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt...
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- What is the minimum height of any point on the curve y=x^2-4x+6 above ...
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- Find the locus of point z if z , i ,and iz , are collinear.
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- If |z-1|lt=2a n d|omegaz-1-omega^2|=a where omega is cube root of unit...
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- What is the maximum height of any point on the curve y=-x^2+6x-5 above...
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- Consider an ellipse having its foci at A(z1)a n dB(z2) in the Argand p...
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- The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...
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- Find the largest natural number a for which the maximum value of f(x)=...
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- In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2...
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- If omega is an imaginary x^n root of unit then underset(r=1)oversetnsu...
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- Let f(x)=a x^2+b x+c be a quadratic expression having its vertex at (3...
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- If |z|=2a n d(z1-z3)/(z2-z3)=(z-2)/(z+2) , then prove that z1, z2, z3...
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- If |z1/z2|=1 and arg (z1z2)=0 , then a. z1 = z2 b. |z2|^2 = z1*z2 ...
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