SAT1000 - P808

Geometry Level pending

As shown above, the ellipse has equation: x24+y2=1\dfrac{x^2}{4}+y^2=1.

If line ll passes through point C(m,0)C(m,0) and is tangent to circle: x2+y2=1x^2+y^2=1.

ll intersects with the ellipse at point A,BA,B, then find the maximum value of AB|AB|.

Let MM be the maximum value. Submit 1000M\lfloor 1000M \rfloor.


Have a look at my problem set: SAT 1000 problems

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