Easy Problem

October 20th, 2009 by ben

A tangent line from the point $(2 \cdot 1994, 2 \cdot 1994)$ to the circle $x^2 + y^2 = 1994^2$ touches the circle at the point $(a,b)$. Compute $a+b$.

Credits – Southern California ARML, Oct. 2009, Individual round

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1. Benji says:

Okay, so maybe it wasn’t that easy.

I got this problem wrong myself, so yeah.

2. Benji says:

Hanchan heroicly solved it!

It seems this is actually kind of difficult… harder than I thought >.>”

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