If line y=x+2 do not intersect any member of family of parabolas y2=αxa∈R+ at two distinct points, then maximum value of latus rectum is

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answer is B.

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Detailed Solution

y=mx+am is the equation of tangent. comparing with y=x+2m=1&am=2⇒m=1,a=2∴ Latus rectum m=4a=8

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