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If alpha, beta are the roots of the equa...

If `alpha`, `beta` are the roots of the equation `6x^2-6x+1=0`, then

A

`(12d+6c+4b+a)/(12)`

B

`12a+6b+4c+9d`

C

`(1)/(12)(12a+6b+4c+3d)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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FIITJEE-QUADRATIC EQUATION & EXPRESSION -SOLVED PROBLEMS (OBJECTIVE)
  1. If tan A, tan B, tan C are the solutions of the equation x^(3)-k^(2)x^...

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  2. A quadratic polynomial maps from [-2, 3] onto [0, 3] and touches x-axi...

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  3. If alpha, beta are the roots of the equation 6x^2-6x+1=0, then

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  4. Roots of a quadratic equation x^(2)+5x+3=0 are 4cos^(2)alpha+a, and 4s...

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  5. If one root is square of the other root of the equation x^2+p x+q=0 , ...

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  6. The value of P for which both the roots of the equation 4x^2-20Px + (2...

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  7. The number of integral values of k for which the equation |x^(2)-5|x|+...

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  8. If the equation ax^(2)+bx+c=0 (a lt 0) has two roots alpha and beta su...

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  9. If a,b,c are positive rational numbers such that agtbgtc and the quadr...

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  10. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

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  11. If 0 lt a lt b lt c and equation ax^(2)+bx+c=0 does not posses distinc...

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  12. If alpha, beta are the roots of equation (k+1)x^(2)-(20k+14)x+91k+40=0...

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  13. If alpha, beta the roots of equation (k + 1 )x ^(2) -(20k +14) x + 91...

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  14. If alpha, beta the roots of equation (k + 1 )x ^(2) -(20k +14) x + 91...

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  15. Let f(x) = x2 + b1x + c1. g(x) = x^2 + b2x + c2. Real roots of f(x) =...

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  16. Let f(x)=x^(2)+bx+c and g(x)=x^(2)+b(1)x+c(1) Let the real roots of ...

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  17. Let a(1)x^(2)+b(1)x + c(1)=0 and a(2)x^(2)+b(2)x+c(2)=0 be the quarati...

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  18. If the quadratic equation x^(2)-px+q=0 where p, q are the prime number...

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  19. The number of values of a for which cubic equation x^(3)+3x^(2)+3-a=0 ...

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  20. If x, y, z are distinct positive numbers such that x+(1)/(y)=y+(1)/(z)...

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