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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If t and c are two complex numbers such that |t|!=|c|,|t|=1a n dz=(a t...
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- Consider the circle |z|=r in the Argand plane, which is in fact the in...
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- Solve the equation 12x^4-56 x^3+89 x^2-56 x+12=0.
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- If z is a complex number such that -pi//2lt=a r g zlt=pi//2, then whi...
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- P is a point on the argand diagram on the circle with OP as diameter t...
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- Solve the equation (x+2)(x+3)(x+8)(x+12)=4x^2
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- Given alpha,beta, respectively, the fifth and the fourth non-real root...
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- Solve the equation (x-1)^4+(x-5)^4=82.
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- 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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