Trignometry

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10 Mar 2012 04:37:50 IST
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Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Trigonometry

if polar of p with respect to the parabola y2=4ax touches the circle x2+y2=4a2 then show that p lies on the curve x2-y2=4a2



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Sagar Saxena's Avatar

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Joined: 8 Oct 2008
Posts: 8064
6 Jul 2012 21:18:07 IST
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 let the point be h,k

pole is:-

Ky-2a(x+h)=0

as it touches the circle the perpendicular distance is 2a

-2*a*h/(k^2+4a^2)^1/2=2a

h^2-k^2=4*a^2




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