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

y 2 y ( x + 2 ) 2 − a x x 2 + x ( 4 − a ) + 4 D a = a x = x + 2 = 0 = 0 ≤ 0 ≤ 8

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MathematicsParabolaGeneralEasy2 minQB

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If the line $y = x + 2$ does not intersect any member of family of parabolas $y^{2} = ax, (a \in R^{+})$ at two distinct point, then maximum value of latus rectum of parabola is

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Solution:

$y^{2} y (x + 2)^{2} - a x x^{2} + x (4 - a) + 4 D a = a x = x + 2 = 0 = 0 \leq 0 \leq 8$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

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