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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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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
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  2. Real roots of the equation x^(2)+5|x|+4=0 are

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  3. The number of real roots of the equation (sin 2^(x)) cos (2^(x))=(1)/(...

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  4. The number of solutions of the equation 5^(x)+5^(-x) =log(10)25, x in ...

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  5. The number of solutions of the equation sin e^(x)=5^(x)+5^(-x) is

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  6. The number of real roots of the equation (x+3)^(4)+(x+5)^(4)=16 is

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  7. The number of real solutions of the equation ((5)/(7))^(2)=-x^(2)+2x-3...

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  8. If a and b (ne 0) are the roots of the quadratic x^(2)+ax+b=0 then the...

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  9. If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

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  10. If a, b, c in R and 2a + 3b + 6c = 0, then the equation ax^(2) + bx + ...

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  11. If (ax^(2)+c) y+(dx^(2)+c')=0 and x is a rational function of y and a...

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  12. If the equation x^(2)-4x+log(1/2)a = 0 does not have two distinct rea...

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  13. Consider the equation of the form x^(2)+ax+b=0. Then number of such eq...

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  14. If alpha,betaare the roots of x^2+px+q=0 and alpha^n,beta^n are the ro...

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  15. If alpha and beta are the ral roots of x ^(2) + px +q =0 and alpha ^(4...

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  16. If alpha, beta, gamma, delta are the roots of the equation x^(4)+4x^(3...

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  17. The number of roots of the quadratic equation 8 sec^(2) theta-6 sec th...

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

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  19. The real root of the equation (x^(2))/((x+1)^(2))+x^(2)=3 are

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  20. Let a,b,c be the sides of a triangle. No two of them are equal and lam...

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