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if a lt c lt b, then check the nature o...

if a `lt c lt b, ` then check the nature of roots of the equation
`(a -b)^(2) x^(2) + 2(a+ b - 2c)x + 1 = 0`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  7. The value of a so that the sum of the squares of the roots of the equa...

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  8. For all complex niumbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5...

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  12. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

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  13. Find the domain and the range of f(x)=sqrt(x^2-3x.)

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  16. If x in (0,pi//2)a n dcosx=1//3 , then prove that sum(n=0)^oo(cosn x)/...

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  17. Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real value...

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  18. Let Zp=rp(costhetap+isinthetap),p=1,2,3a n d1/(Z1)+1/(Z2)+1/(Z3)=0. Co...

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  19. Find the least value of ((6x^2-22 x+21))/((5x^2-18x+17)) for real xdot

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  20. Let a ,b and c be any three nonzero complex number. If |z|=1 and' z ' ...

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