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The value of 'a' for which the quadratic...

The value of 'a' for which the quadratic equation `2x^(2) - x(a^(2) + 8a -1) + a^(2) - 4a = 0` has roots with opposite signs, lie in the interval

A

`1 lt a lt 5`

B

`0 lt a lt 4`

C

`-1 lt a lt 2`

D

`2 lt a lt 6`

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B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. If the roots of ax^(2)+ bx + c = 0 are equal in magnitude but opposite...

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  2. If the roots of ax^(2) + bx + c = 0 are both positive and b lt 0, then

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  3. The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8...

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  4. Let alpha, beta be the roots of the equation (x - a)(x - b) = c, c != ...

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  5. The equation |x|^(2) -|x|-6 = 0 has

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  6. If |x^(2)|-3|x|+2=0 then x =

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  7. Solutions of the equation x|x+1|+1=0 are

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  8. If m is a positive integer then the solutions of x^((2)/(5))-5x^((1)/(...

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  9. If the sum of the roots of ax^(2) + bx + c = 0 is equal to the sum of ...

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  10. If a != 0, then the equation (x-a-1)/(x-a)=(a+1)-(1)/(x-a) has

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  11. The number of real solutions of the equation ((9)/(x))^(x)= -3+x-x^(2)...

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  12. Solve x^(2//3)+x^(1//3)-2=0

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  13. If the equations x^(2)-ax+bc=0 and x^(2)+bx+ca=0 have a common root, t...

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  14. If the equation x^(2)+ax+b=0 and x^(2)+bx+a=0 have a common root, then...

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  15. Suppose the that quadratic equations ax^(2)+bx+c=0 and bx^(2)+cx+a=0 h...

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  16. IF x^2 +bx +a=0, ax^2+x+b=0 have a common root and the first eq...

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  17. If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0...

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  18. the expression 2x ^2 + 4x +7 has minimum value m at x= alpha ...

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  19. The maximum value of the expression (x^(2)+x+1)/(2x^(2)-x+1), for x in...

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  20. A = The maximum value of 4x^(2) + 4x + 5 B = The maximum value of 8x...

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