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If the point `(1, a)` lies in between the lines `x + y =1` and `2(x+y) = 3` then `a` lies in (i)`(-infty,0)cup (1,infty)` (ii)`(0,1/2)` (iii)`(-infty,0)cup (1/2,infty)` (iv) none of these

A

`(-oo , 0) uu (1 , oo)`

B

`( 0 , (1)/(2))`

C

`(-oo , 0) uu ((1)/(2) , oo)`

D

None of these

Text Solution

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The correct Answer is:
B

`(1 + a -1) (1 +a - 3//2) lt 0`
`a (a- 1//2) lt 0`
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