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if (a2,a-2) be a point interior to region of parabola y2=2x bounded. by chord joining points (2,2) and(8,4), then set of all possible real values of a ,is

if (a2,a-2) be a point interior to region of parabola y2=2x bounded. by chord joining points (2,2) and(8,4), then set of all possible real values of a ,is

Grade:12

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago
equation of line passing through these two points will be 3y=x+4
now here points must lies in the area between parabola and line that means
y2-4ax<0
3y-x-4>0 check with respect to origin point lies opposite side of origin with repect to line
put here x=a2and y=1/a2

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