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Question

If the point (α,α2) lies between x+y2=0 and 4x+4y=3, then the range of α is

A
(2,32)(12,1)
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B
(2,32)(12,2)
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C
(2,32)(12,1)
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D
(2,12)(12,1)
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Solution

The correct option is A (2,32)(12,1)
Let two given lines be
L1:4x+4y=3 and L2:x+y=2


As the point lies between both the lines, we get
(α+α22)(4α+4α23)<0(α+2)(α1)(2α+3)(2α1)<0α(2,32)(12,1)

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