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असमिका का हल (x-1)/(x-2) gt 2, है ....

असमिका का हल ` (x-1)/(x-2) gt 2,` है .

A

(2, 3)

B

[2, 3]

C

`(-oo, 2) cup (3, oo)`

D

इनमें से कोई नहीं

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`(x-1)/(x-2) gt 2`
`rArr (x-1)/(x-2) -2 gt 0`
`rArr (x-1-2x+4)/(x-2) gt 0`
`rArr (-x+3)/(x-2) gt 0`

`rArr (x-3)/(x-2) lt 0 rArr 2 lt x lt 3 rArr x in (2, 3)`
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OBJECTIVE RD SHARMA-ALGEBRAIC INEQUATIONS-Section I - Solved Mcqs
  1. असमिका का हल (x-1)/(x-2) gt 2, है .

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  2. यदि 5x+2<3x+8 तथा (x+2)/(x-1)<4 तब x in :

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  3. The solution set of the inequation |2x-3| lt x-1, is

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  4. Write the solution set of the inequation |x-1|geq|x-3|dot

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  5. The solution set of the inequation ||x|-1| < | 1 – x|, x in RR, is

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  6. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

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  7. The solution set of the inequation (|x+3|+x)/(x+2) gt 1, is

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  8. The set of values of x for which the inequality |x-1|+|x+1|lt 4 always...

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  9. The solution set of the inequation |[|x|-7]|-5< 0, is ... ([*] denote...

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  10. If [x] denotes the greatest integer less than or equal to x, then the ...

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  11. The area of the region represented by |x-y| le 3 " and " |x+y|le 3, is

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  12. The total number of integral points i.e. points having integral coordi...

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  13. The solution set of the inequation |(1)/(x)-2| lt 4, is

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  14. The set of real values of x satisfying the inequality |x^(2) + x -6| l...

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  15. The set of real values of x satisfying ||x-1|-1|le 1, is

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  16. The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...

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  17. असमिका x^2+9<(x+3)^2<8x+25 के पूर्णांक हलो की संख्या है:

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  18. If x^2-ax+1-2a^2 > 0 for all x in R, then ....

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  19. The least integral value of 'k' for which (k -2)x^2 +8x+k+4>0 for all ...

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  20. If 9^(x+1) + (a^(2)-4a-2) 3^(x) + 1 lt 0 "for all" x in R, then

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