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If the point P(α2,α) lies in the region corresponding to the acute angle between the lines x−3y=0 and x−5y=0 then

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a

α∈(5,15)

b

α∈(5,8)

c

α∈(4,8)

d

α∈(3,5)

answer is D.

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Detailed Solution

P lies in the acute angle⇒α2−3α>0 and α2−5α<0⇒α∈(−∞,0)∪(3,∞) and α∈(0,5)∴α∈(3,5)

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