The ellipse with semi-major axis a, eccentricity e and foci F1 and F2 intersects the circle with diameter F1 F2 at the point P, which is one of the 4 points of intersection, as shown in the diagram....


The ellipse with semi-major axis a, eccentricity e and foci F1 and F2 intersects the circle with diameter F1 F2at the point P, which is one of the 4 points of intersection, as shown in the diagram. Let x be the length of PF1 and y the length of PF2.






  1. (a)  Considering P as a point on the circle, show that x2+ y2
    = 4a2 e2





P<br>F1<br>F2<br>

Extracted text: P F1 F2

Jun 05, 2022
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