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x1 and x3 are the roots of the equa...

`x_1 and x_3` are the roots of the equation ` Ax ^2 - 4x +1=0` and `x_2 and x_4 =0` are the roots of the requation ` Bx^2 - 6x + 1=0 ` if ` x_1 , x_2 , x_3 ,x_4` form a H.P , then (A,B) =

A

`(3,3)`

B

`(8,8)`

C

`(3,8)`

D

`(8,3)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. Let x1 , x2 , be the roots of the equation x^2 - 3x +p=0 an...

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  2. Let alpha , beta be the roots of x^2 - x +p=0 and gamma , ...

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  3. x1 and x3 are the roots of the equation Ax ^2 - 4x +1=0 and x2...

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  4. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

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  5. The students while solving a quadratic equation in x, one copi...

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  6. If 8 and 2 are the roots of x^2 + ax + beta = 0 and 3,3 are...

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  7. IF x1 and x2 are the real roots of the equation x^2 - kx +c=...

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  8. If one root of the equation I x ^2 - 2(1+i) x+ (2-i) =0 is 2- I ...

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  9. If one root of x^2+ax +8=0 is 4 and the equation x^2 + ax +b=0...

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  10. IF the roots of the equation x^2-5x +16=0 are alpha , beta an...

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  11. IF x^2-3x +2 is a factor of x ^4 -px^2 +q=0 then (p,q)=0

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  12. IF the product of the roots of 5x^2-4x+2+m(4x^2-2x-1) =0 is 3,...

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  13. IF k gt 0 and the product of the roots of the equation x^2 - 3kx...

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  14. The value of K , so that the sum and product of the roots of ...

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  15. IF the sum of the square of the roots of x ^2+px -3=0 is 10 t...

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  16. alpha , beta are the roots of x^2+kx+2=0 . If alpha - beta =1 ...

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  17. alpha , beta are roots of the equation lamda (x^2-x)+x+5=0 If ...

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  18. The harmonic mean of the roots of the equation ( 5+ sqrt(2)) x^...

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  19. IF C and D are the roots of (x-a) (x-b) -k=0 then the roots of ...

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  20. IF alpha , beta be the roots of the equation (x-a) ( x-b) +c=0 ...

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