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If alpha and beta (alpha lt beta) are th...

If `alpha and beta (alpha lt beta)` are the roots of the equation `x^(2) + bx + c = 0`, where `c lt 0 lt b`, then

A

`0lt alpha ltbeta`

B

`alpha lt 0 lt beta|alpha|`

C

`alpha lt betalt0`

D

`alphalt0 lt |alpha|ltbeta`

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The correct Answer is:
B
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 2)
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  5. Solve |x^2+4x+3|+2x+5=0.

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  6. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  7. For all x in (0, 1)

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  8. What is the average of the first six prime numbers ?

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  9. Let a, b, c be real, if ax^(2)+bx+c=0 has two real roots alpha, beta, ...

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  10. If p, q are the roots of equation x^2 + px + q = 0, then value of p mu...

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  11. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

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  12. The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

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  13. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

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  14. If the roots of the equation x^2-2a x+a^2-a-3=0 are ra and less than 3...

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  15. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

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  16. If b gt a, then the equation (x-a)(x-b)-1=0, has

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  17. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

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  18. If α,β are the roots of x^(2)-x+2=0 then α^3 β+αβ^3

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  19. Given that alpha, gamma are roots of the equation Ax^(2)-4x+1=0 and be...

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  20. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Th...

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