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Let f(x) = x2 + b1x + c1. g(x) = x^2 + b...

Let `f(x) = x2 + b_1x + c_1. g(x) = x^2 + b_2x + c_2`. Real roots of `f(x) = 0` be `alpha, beta` and real roots of `g(x) = 0` be `alpha+gamma, beta+gamma`. Least values of `f(x)` be `- 1/4`Least value of `g(x)` occurs at `x=7/2`

A

`-(1)/(4)`

B

`-1`

C

`-(1)/(3)`

D

`-(1)/(2)`

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The correct Answer is:
A
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FIITJEE-QUADRATIC EQUATION & EXPRESSION -SOLVED PROBLEMS (OBJECTIVE)
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  2. The value of P for which both the roots of the equation 4x^2-20Px + (2...

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

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

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

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

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

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

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

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

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

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  12. 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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  13. 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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  14. If the quadratic equation x^(2)-px+q=0 where p, q are the prime number...

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

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

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  17. The graph of the function y=16x^(2)+8(a+2)x-3a-2 is strictly above the...

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  18. Given are the four polynomial equation in Column I, nature of the root...

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  19. Given are the four polynomial equation in Column I, nature of the root...

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  20. Given are the four polynomial equation in Column I, nature of the root...

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