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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Knowledge Check

If x + 1/x = 2 then the value of x^12 - (1)/(x^12) is . यदि x + 1/x = 2 है, तो x^12 - (1)/(x^12) का मान है-

A

(a) `-4`

B

(b) 4

C

(c) 2

D

(d) 0

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