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The quadratic equation whose roots are A...

The quadratic equation whose roots are A.M. and H.M. between the roots of the equation `ax^(2) + bx + c = 0`, is

A

`abx^(2)+(b^(2)+ac)x+bc=0`

B

`2abx^(2)+(b^(2)+4ac)x +2bc=0`

C

`2abx^(2)+(b^(2)+ac)x+bc=0`

D

none of these

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The correct Answer is:
B
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FIITJEE-QUADRATIC EQUATION & EXPRESSION -SOLVED PROBLEMS (OBJECTIVE)
  1. The quadratic equation whose roots are A.M. and H.M. between the roots...

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  2. If a, b, c are the sides of a triangle having perimeter 2 than the roo...

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  3. If a, b in R and ax^2 + bx +6 = 0,a!= 0 does not have two distinct rea...

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  4. If tan A, tan B, tan C are the solutions of the equation x^(3)-k^(2)x^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. 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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  20. 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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