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Let ` x_1 , x_2` , be the roots of the equation ` x^2 - 3x +p=0` and let `x_3 , x_4` be the roots of the equation ` x^2 - 12 x + q =0` if the numbers ` x_1 , x_2 , x_4 ` ( in order ) form an increasing G.P then

A

`p=2,q=16`

B

`p=2 , q=32`

C

`p=4 , q=16`

D

`p=4 , q=32 `

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

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  2. Let p and q be the roots of x^2 - 2x + A =0 and let r and s b...

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  3. Let x1 , x2 , be the roots of the equation x^2 - 3x +p=0 an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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