find the locus of the mid points of the segments which are tangent to the ellipse and which are intercepted between the coordinate axis
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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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