Hey dude I guess thats 9 and 4 are in denominator, otherwise thats not an ellipse thats a hyperboloid with centre at the origin where no tangents can be mutually perpendicular (unless presented in complex plane) , either of which you haven't specified . See , the tangents have been drawn by taking any point on the director circle of the ellipse .
Any point on the director circle can be taken as (root over 13x cos theta , root over 13 x sin theta ).
Hence equation of the corresponding contact is [ (root over 13) / 9] x cos theta x X + [ (root over 13) / 4] x sin theta x Y=1
Its distnce from the origin is 1 / root over[ ( 13 / 81 cos sq theta + 13 / 16 sin sq theta ) ] this is smaller than equal to (36/ root over 208) which is ( 9 / root over 13).
Moderation Team
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with centre at the origin where no tangents can be mutually perpendicular (unless presented in complex plane) , either of which you haven't specified .
