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IF both the roots of the quadratic equ...

IF both the roots of the quadratic equation `x^2-2kx+k^2 +k -5=0` are less than 5, then k lies in the interval

A

(5, 6]

B

`(6, oo)`

C

`(-oo, 4)`

D

[4,5]

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. If the roots of x^2+x+a=0 exceed , a then

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  2. Out of the two roots of x^(2) + (1 - 2lambda )x + (lambda^(2)-lambda-2...

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  3. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

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  4. If the roots of x^(2) - 2kx + k^(2)-1 = 0 lie between -2 and 4 then th...

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  5. If a, b, c are real if ax^(2)+ bx + c = 0 has two real roots alpha, be...

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  6. If x is real then the range of (x^(2)-2x+9)/(x^(2)+2x+9) is

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  7. x in R the least value of (x^(2)-6x+5)/(x^(2)+2x+1)

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  8. The set of values of x which satisfy 5x+2 lt 3x+8 and (x+2)/(x-1) lt 4...

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  9. The values of x for which (x-1)/(3x+4) lt (x-3)/(3x-2)

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  10. The solution set of the inequation 3^x+3^(1-x) -4 lt 0, is

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  11. IF sqrt(9x^2 + 6x +1) lt (2-x) then

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  12. The set of solutions satisfying both x^(2)+5x+6 ge 0 and x^(2)+3x-4 lt...

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  13. {x in R: (14x)/(x+1)- (9x-30)/(x-4) lt 0} =

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  14. If 3x^(2)+4kx+1 gt 1 for all real values of x, then k lies in the in...

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  15. I) For x in (2, 4) the sign of x^(2)-6x+5 is negative II) For x in ...

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  16. Observe the following lists Then the correct matching of solutio...

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  17. If x^(2)+bx+x=0 has no real roots and a+b+c lt 0 then

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  18. Assertion (A): The maximum value of log(1//3)(x^(2)-4x+5) is zero Re...

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  19. Assertion (A), The equation x^(2)+ 2|x|+3=0 has no real root. Reas...

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  20. Assertion(A): x^(2)+x+1 gt 0 for all positive real values of x only. ...

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