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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If z1, z2 and z3, are the vertices of an equilateral triangle ABC suc...
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- If two roots of x^3-a x^2+b x-c=0 are equal in magnitude but opposite ...
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- For any complex number z find the minimum value of |z|+|z-2i|
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- The greatest positive argument of complex number satisfying |z-4|=R e(...
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- If alpha,betaa n dgamma are the roots of x^3+8=0 then find the equat...
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- Prove that the distance of the roots of the equation |sintheta1|z^3+|s...
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- Let z1a n dz2 be two distinct complex numbers and let z=(1-t)z1+t z2 f...
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- If alpha,beta,gamma are the roots of the equation x^3-p x+q=0, then ...
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- If |z1-1|lt=1,|z2-2|lt=2,|z(3)-3|lt=3, then find the greatest value o...
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- If the roots of equation x^3+a x^2+b=0a r ealpha1,alpha2 and alpha3(a ...
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- If z is a complex number, then find the minimum value of |z|+|z-1|+|2z...
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- Let |z|=2and w=(z+1)/(z-1),where z ,w , in C (where C is the set of c...
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- If alpha,betaa n dgamma are roots of 7x^3-x-2=0 , then find the value ...
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- if z is complex no satisfies the condition | Z |>3. Then find...
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- If alpha is the nth root of unity then 1+2alpha+3alpha^2+….to n terms ...
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- Let r ,s ,a n dt be the roots of equation 8x^3+1001 x+2008=0. Then f...
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- Given z is a complex number with modulus 1. Then the equation [(1+i a)...
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- The number of value of k for which [x^2-(k-2)x+k^2]xx""[x^2+k x+(2k-1...
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- For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|
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- The point z1=3+sqrt(3)i and z2=2sqrt(3)+6i are given on a complex plan...
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