A line of fixed length (a + b) moves so ...

A line of fixed length (a + b) moves so that its ends are always on two fixed perpendicular straight lines. Prove that a marked point on
the line which divides this line into portions of length 'a' and 'b' describes an ellipse and also find the eccentricity of the ellipse when `a = 8, b=12`.

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The correct Answer is:

`(sqrt(5))/(3)`

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