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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...
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- Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...
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- Find the locus of the points representing the complex number z for...
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- The equation x-2/(x-1)=1-2/(x-1) has a. no root b. one root c. t...
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- Identify the locus of z if bar z = bar a +(r^2)/(z-a).
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- If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...
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- Two towns Aa n dB are 60 km apart. A school is to be built to serve 15...
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- Find the amplitude of sinalpha+i(1-cosalpha)
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- Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4...
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- Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+...
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- Let z=9+b i ,and b is nonzero real and i^2=-1. If the imaginary part ...
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- 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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