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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

`0 lt alpha lt beta`

B

`alpha lt 0 lt beta lt |alpha |`

C

`alpha lt beta lt 0`

D

`alpha lt 0 lt |alpha | lt beta`

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The correct Answer is:
B
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DISHA PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS -Exercise-1: Concept Builder (Topic -3)
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  4. The number of real solutions of the equation t^(2)x^(2)+|x|+9=0

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  5. If alpha, beta are real and alpha^(2), beta^(2) are the roots of the e...

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  7. The root of the equation 3^(2x)-10.3^(x)+9=0 are

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  8. If the equation (m-n)x^(2)+(n-1)x+1-m=0 has equal roots, then l, m and...

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

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  10. The real roots of the equation x^(2//3)+x^(1//3)-2=0 are

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

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  12. If the roots of the equation x^2+2a x+b=0 are real and distinct and th...

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  13. If one root of the equation ax^2+bx+c=0 is the square of the other , t...

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  14. The ration of roots of the equations ax^(2) + bx + c =0 and px^(2) + q...

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  15. If x^(2)+y^(2)=25, xy=12 then x=

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  16. If a ,b ,c(a b c^2)x^2+3a^2c x+b^2c x-6a^2-a b+2b^2=0 ares rational.

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  17. Find the roots of the following equations. x^(2)-7x+12=0

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  18. If 0 lt a lt b lt c and the roots alpha, beta of the equation ax ^(2)...

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  19. Let p, q, r, s in R, x^2 + px + q = 0, x^2 + rx + s = 0 such that 2 (q...

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