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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Prove that ifz1,z2 are two complex numbers and cgt0 then abs((z1+z2)...
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- Let f(x), g(x), and h(x) be the quadratic polynomials having positive ...
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- Find the minimum value of |z-1| if ||z-3|-|z+1||=2.
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- If x=omega-omega^2-2 then , the value of x^4+3x^3+2x^2-11x-6 is (where...
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- If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0 and 5x^2...
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- Find the greatest and the least value of |z1+z2| ifz1=24+7i and |z2|=6...
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- If the complex numbers x and y satisfy x^3-y^3=98 ia n dx-y=7i ,t h e ...
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- If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one real...
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- If z is any complex number such that |z+4|lt=3, then find the greatest...
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- 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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