SAT1000 - P807

Algebra Level pending

As shown above, parabola CC has equation: y2=4xy^2=4x and its focus is FF.

Line l1,l2l_1, l_2 both passes through FF, l1l_1 intersects with CC at A,BA,B, l2l_2 intersects with CC at D,ED,E, l1l2l_1 \perp l_2.

Then find the minimum value of ADEB \overrightarrow{AD} \cdot \overrightarrow{EB} .

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

Have a look at my problem set: SAT 1000 problems


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