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If the sum of the roots of ax^(2) + bx +...

If the sum of the roots of `ax^(2) + bx + c = 0` is equal to the sum of the reciprocals of their squares then `bc^(2), ca^(2), ab^(2)` are in

A

A.P.

B

H.P.

C

G.P.

D

A.G.P

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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. Solutions of the equation x|x+1|+1=0 are

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. The range of (x^(2)-x+1)/(x^(2)+x+1) is

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  16. Out of the two roots of x^(2)-2 lambda x + lambda^(2)-1= 0, one is gre...

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  17. Assertion (A): The roots of ax^(2) + bx + c = 0, where a != 0, b, c in...

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  18. If x in R, then the range of (x)/(x^(2)-5x + 9) is

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  19. If 4 lt x lt 8 then the value of 12x -x^(2) - 32 is

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  20. The greatest positive integral value of x for which 200 - x(10 + x) is...

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