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For the ellipse,x^2/a^2+y^2/b^2=1 the e...

For the ellipse,`x^2/a^2+y^2/b^2=1` the equation of the diameter conjugate `ax-by=0` is-

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A circle is drawn with the two foci an ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 at the end of the diameter. What is the equation of the eircle ?

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If a hyperbola passes through foci of the ellipse x^2/5^2 + y^2/3^2 = 1 and its transverse and conjugate axes coincide with the major and minor axes of the ellipse and the product of their eccentricities is 1, then the product of length of semi transverse and conjugate axes of hyperbola is...

If a hyperbola passes through foci of the ellipse x^2/5^2 + y^2/3^2 = 1 and its transverse and conjugate axes coincide with the major and minor axes of the ellipse and the product of their eccentricities is 1, then the product of length of semi transverse and conjugate axes of hyperbola is...