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Let f(x) =x^2+bx+c, where b,c inR. If f(...

Let f(x) =`x^2+bx+c`, where b,c `in`R. If f(x) is a factor of both `x^4+6x^2+25` and `3x^4+4x^2+28x+5`, then the least value of f(x) is

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Show that the square to (sqrt(26-15sqrt(3)))//(5sqrt(2)-sqrt(38+5sqrt(...

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  2. If alpha,beta are the roots x^2+px+q=0 and gamma,delta are the roots o...

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  3. Let f(x) =x^2+bx+c, where b,c inR. If f(x) is a factor of both x^4+6x^...

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  4. If the equation a x^2+b x+c=x has no real roots, then the equation a(a...

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  5. The value of expression x^4-8x^3+18 x^2-8x+2 when x=2+sqrt(3) a. 2 ...

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  6. The exhaustive set of values of a for which inequation (a -1)x^2- (a+1...

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  7. If p ,q ,r ,s are rational numbers and the roots of f(x)=0 are eccentr...

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  8. If |z-(1/z)|=1, then a. (|z|)(m a x)=(1+sqrt(5))/2 b. (|z|)(m in)=(s...

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  9. zo is one of the roots of the equation z^n cos theta0+ z^(n-1) cos th...

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  10. If a0, a1, a2, a3 are all the positive, then 4a0x^3+3a1x^2+2a2x+a3=0 ...

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  11. If 1,z1,z2,z3,.......,z(n-1) be the n, nth roots of unity and omega b...

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  12. If a x ^2+b x+c=0 has imaginary roots and a-b+c >0 then the set of poi...

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  13. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

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  14. If the equation z^3 + (3 + i)(z^2) - 3z - (m + i)= 0, m in R , has at ...

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  15. If a+b+c=0,a^2+b^2+c^2=4,t h e na^4+b^4+c^4 is.

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  16. Let P(x) and Q(x) be two polynomials. If f(x) = P(x^4) + xQ(x^4) is di...

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  17. Find the solution set of the system x+2y+z=1 2x-3y-w=2 xgeq0,ygeq0,zge...

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  18. If amp(z1z2)=0 and absz1=absz2=1, then

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  19. mn squares of equal size are arranged to form a rectangle of dimension...

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  20. Prove that ln(1+x) < x for x > 0.

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