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The equation x-2/(x-1)=1-2/(x-1) has a...

The equation `x-2/(x-1)=1-2/(x-1)` has a. no root b. one root c. two equals roots d. Infinitely many roots

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...

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

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

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

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

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

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

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

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

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  10. Let z=9+b i ,w h e r eb is nonzero real and i^2=-1. If the imaginary p...

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

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

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

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  14. If x=omega-omega^2-2 then , the value of x^4+3x^3+2x^2-11x-6 is (where...

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  15. 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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  16. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

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  17. 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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  18. 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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  19. If z is any complex number such that |z+4|lt=3, then find the greatest...

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  20. If z1, z2 and z3, are the vertices of an equilateral triangle ABC suc...

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