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If the roots of x^(2) - 2kx + k^(2)-1 = ...

If the roots of `x^(2) - 2kx + k^(2)-1 = 0` lie between -2 and 4 then the interval in which k lies, is

A

(-3,1)

B

(-3, 3)

C

(-1, 5)

D

(-1, 3)

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The correct Answer is:
D
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
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  2. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If x^(2)+4xy+4y^(2)+4x+cy+3 can be written as the product of two linea...

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