parabola

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the largest value of a for which the circle x²+y² = a² lies completely inside the parabola y² = 4(x+4)

#Mathematics #Co-ordinate Geometry

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Aditya Bhutra ·2011-08-19 01:11:18

a= 2âˆš3 ??

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aditya ravichandran ·2011-08-19 01:25:51

set Discriminant=0

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fahadnasir nasir ·2011-08-19 03:40:04

Deff cirle equation 2xdxdy+2y=0 â†’ dxdy=-yx
Deff parabola eq 2y=4dxdy â†’ dxdy=12y
that means -yx=12y
xy+2y=0
x+2=0 â†’x=-2
y²=8
y=2âˆš2
from circle eq a=2âˆš3

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rishabh ·2011-08-21 00:20:49

i still dint get it... fahad dint understand your method.
does some1 have another method?

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fahadnasir nasir ·2011-08-21 03:00:38

rishabh, the concept is that the the two curves of circle and parabola intersect when the slopes of the two curves are equal.

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rishabh ·2011-08-21 05:58:28

alright,got it. thanks!

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parabola

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