SAT1000 - P810

Geometry Level pending

As shown above, the ellipse C:x24+y23=1C: \dfrac{x^2}{4}+\dfrac{y^2}{3}=1, O(0,0),P(2,1)O(0,0), P(2,1), line ll intersects with CC at point A,BA,B, and line OPOP bisects segment ABAB.

If the area of APB\triangle APB reaches the maximum value, then find the equation of line ll.

The equation of the line can be expressed as y=kx+by=kx+b, submit 1000(k+b)\lfloor 1000(k+b) \rfloor.

Have a look at my problem set: SAT 1000 problems


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