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Question

The range of λ if the point (λ, λ+1) lies inside the parabola y2=14x


A

(121402,12+1402)

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B

(141902,14+1902)

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C

(6,8)

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D

(121402,14+1902)

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Solution

The correct option is A

(121402,12+1402)


The point (x1,y1) lies inside y214x=0 if
y2114x1 < 0

(λ+1)214 λ < 0

λ2+2λ+114λ

λ212λ+1 < 0

λ(1212242,12+12242)

=(121402,12+1402)


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