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Both the roots of the equation (x-b)(x-c...

Both the roots of the equation `(x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0` are always a. positive b. real c. negative d. none of these

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If complex number z(z!=2) satisfies the equation z^2=4z+|z|^2+(16)/(|z...

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  3. Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...

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  4. Find the locus of the points representing the complex number z for...

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  5. The equation x-2/(x-1)=1-2/(x-1) has a. no root b. one root c. two ...

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  6. Identify the locus of z if bar z = bar a +(r^2)/(z-a).

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  7. If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...

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  8. Two towns A and B are 60 km a part. A school is to be built to serve ...

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  9. Find the amplitude of sinalpha+i(1-cosalpha)

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  10. Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4...

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  11. Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+...

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  13. If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...

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  14. Let f(x), g(x), and h(x) be the quadratic polynomials having positive ...

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  15. Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

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  17. 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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  20. If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one re...

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