Question

find the locus of the mid points of the segments which are tangent to the ellipse $x^2/2+y^2/1=1$ and which are intercepted between the coordinate axis

Answer 1

Answer:

Step-by-step explanation:Let (h,k) be the middle-point in question. Then

hk=p2cosα=p2sinα

Now α is the variable, so we need to eliminate it. Using the fact that sin2α+cos2α=1, we get

1h2+1k2=4p

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