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If alpha, beta in R, are the roots of th...

If `alpha, beta in R`, are the roots of the equation `ax^(2)+bx+c=0, k in R` lies between `alpha and beta,` if :

A

`a^(2)k^(2)+bk+c lt0`

B

`a^(2)k^(2)+abk+ac lt0`

C

`ak^(2)+abk+ac gt0`

D

none of these

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The correct Answer is:
B
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
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  4. If the equation x^(2) + 2 (1 + k ļx +k^(2)) = 0 has equal roots, then ...

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  5. The least integral value of 'a' for which the equation x^2+2(a - 1)...

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  7. The number of real soltuions of the equation 2^(3x^(2)-7x+4)=1 is :

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  8. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

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  9. sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

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  10. If alpha,beta are the roots of the equation 8x^2-3x+27=0, then the val...

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  14. The equation 3^(x-1)+5^(x-1)=34 has

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  15. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

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  16. The values of the parameter a for which the quadratic equations (1 – 2...

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  17. The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^...

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  18. The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 ma...

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  19. The condition that x^(3)-ax^(2)+bx-c=0 may have two of its roots equal...

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