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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If the six roots of x^6 = -64 are written in the form a + ib, where ...
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- The maximum area of the triangle formed by the complex coordinates z,...
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- Solve sqrt(x+5)+sqrt(x+21)=sqrt(6x+40.)
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- If zr : r=1,2,3, ,50 are the roots of the equation sum(r=0)^(50)z^r=0 ...
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- Evaluate the value of sqrt(6+sqrt(6+sqrt(6+…..to I nfi nity)))
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- If a complex number z satisfies |2z+10+10 i|lt=5sqrt(3)-5, then the le...
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- If 1,alpha1,alpha2, ,alpha(n-1) are the n t h roots of unity, prove t...
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- If n >1 , show that the roots of the equation z^n=(z+1)^n are collinea...
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- If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided...
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- If |z2+i z1|=|z1|+|z2|a n d|z1|=3a n d|z2|=4, then the area of triang...
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- What is the locus of w if w=3/za n d|z-1|=1?
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- If z is complex number, then the locus of z satisfying the condition...
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- Find the remainder when x^3+4x^2-7x+6 is divided by x-1.
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- What is the locus of z if ||z-cos^(-1)cos12|-|z-sin^(-1)s in 12||=8(pi...
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- Use the factor theorem to find the value of k for which (a+2b),w h e ...
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- If z is a complex number lying in the fourth quadrant of Argand plane ...
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- If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is
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- Let z be a complex number having the argument theta ,0 < theta < pi/2,...
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- Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the va...
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- If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus ...
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