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Q.

If line y=x+2 does not intersect any member of  family of parabolas y2=ax,a∈R+at two distinct points,  then the maximum length of latus rectum of parabola is

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answer is 8.

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Detailed Solution

Given family of parabola is y2=ax Given line is y=x+2solving(x+2)2−ax=0⇒ x2+x(4−a)+4=0 According to question D≤0⇒ a≤8
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