Given an the equation of an ellipse, say ,

find the equations of the two lines tangent to this ellipse passing through the external point

P(5,6). Thank you in advance.

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- Sep 4th 2012, 03:45 AMKalodaTangent lines to an ellipse from an external point
Given an the equation of an ellipse, say ,

find the equations of the two lines tangent to this ellipse passing through the external point

P(5,6). Thank you in advance. - Sep 4th 2012, 05:54 AMtopsquarkRe: Tangent lines to an ellipse from an external point
- Sep 4th 2012, 05:58 AMkalyanramRe: Tangent lines to an ellipse from an external point
Compute the slope of the tangent at the point of contact say which is . Now we have the slope of the line also as from the equation of ellipse we have substitute in and solve for you will get two points on the ellipse, and hence you can get two lines.

~Kalyan. - Sep 8th 2012, 08:36 AMKalodaRe: Tangent lines to an ellipse from an external point
I had already figured it out but THANKS.