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Solve |(x^2-5x+4)/(x^2-4)|<=1...

Solve `|(x^2-5x+4)/(x^2-4)|<=1`

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The correct Answer is:
`[0,8//5]uu[5//2,oo]`
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RESONANCE-DPP-QUESTION
  1. If Sn denotes the sum of first n terms of an arithmetic progression an...

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  2. If log(x)a, a^(x//2), log(b)x are in G.P. then x is equal to

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  3. Solve |(x^2-5x+4)/(x^2-4)|<=1

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  4. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

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  5. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

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  6. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

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  7. Let the n^(th) term of a series be given by tn = (n^2 -n-2)/(n^2+3n),n...

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  8. a, b, c are the first three terms of geometric series. If the H.M. of ...

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  9. Consider an A.P. a(1), a(2), "……"a(n), "……." and the G.P. b(1),b(2)"…....

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  10. If sum(r=1)^(n) r(r+1) = ((n+a)(n+b)(n+c))/(3), where a gt b gt c, the...

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  11. If 5 sinx cosy = 1 and 4 tan x = tany, then

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  12. Solve : (i) -2 le ||x^(2) +1| -3 | le 7 (ii) |x^(2) - 4x| le 5

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  13. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

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  14. Study carefully the graph of a certain function The graph corresp...

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  15. If the r^(th) term of a series is 1 + x + x^2 + .......+ x^(r-1) , the...

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  16. If sin(6/5x) = 0 and cos (x/5) = 0 , then

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  17. If sn=(1-4/1)(1-4/9)(1-4/25)......(1-4/((2n-1)^2)), where n in N, th...

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  18. If S(n) = 1 + 3 + 7 + 13 + 21 + "….." upto n terms, then

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  19. If a,b,c,d,e are five positive numbers, then

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  20. Solve : (i) |x^(2)-2x|le x , (ii) (x^(2)-9)(|x|-2)le0

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