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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Find the modulus, argument, and the principal argument of the complex ...
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- Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...
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- If the expression x^2+2(a+b+c)x+3(b c+ca+a b) is a perfect square, the...
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- Find the point of intersection of the curves a r g(z-3i)=(3pi)/4 and a...
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- The curve y=(lambda+1)x^2+2 intersects the curve y=lambdax+3 in exactl...
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- if z and w are two non-zero complex numbers such that absz=absw and ar...
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- The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x...
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- If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a se...
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- If one vertex of the triangle having maximum area that can be inscribe...
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- The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i...
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- If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots an...
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- Solve the equation 3^(x^2-x)+4^(x^2-x)=25.
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- 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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