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Inessa [10]
3 years ago
15

The endpoints of PQ are P(2, 0) and Q (4, 2). Find the coordinates of midpoint PQ.

Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.

If |PQ|=2k, then

a2(cosp−cosq)2+b2(sinp−sinq)2=4k2

The coordinates of M are

xy==a2(cosp+cosq)b2(sinp+sinq)

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