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Grade 11Analytical Geometry

what is the largest value of 'a' for which the circle with centre (0,0) and radius 'a' falls totally in the interior of the parabola y^2=4(x+4)?

Profile image of ravi teja reddy
14 Years agoGrade 11
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1 Answer

Profile image of Ashwin Muralidharan IIT Madras
14 Years ago

Hi Ravi,

 

The solution is as below

So the max value of the radius is 2*root(3), for which the circle would completely lie inside the parabola.

Hope that helps.

 

All the best,

Regards,

Ashwin (IIT Madras).

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