If P(1+(α/2),2+(α/2)) be any point on a line, then the range of values of α for which the point P lies between the parallel lines x+2y=1 and 2x+4y=15 is

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−423<α<526

0<α<526

−423<α<0

answer is A.

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Detailed Solution

∵P1+α2,2+α2 lies between the parallel lines x+2y=1 and 2x+4y=15 , then 1+α2+22+α2-121+α2+42+α2-15<0⇒4+3α2-5+6α2<0 ⇒α+423α-526<0∴-423<α<526

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