find the locus of the point of intersection of the two tangents to ell

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find the locus of the point of intersection of the two tangents to ellipse x2/a2 +y2/b2=1 which are inclined at angles a and b and a+b=k. (Ans. 2xycotk= x2 -y2 +b2 -a2.)

find the locus of the point of intersection of the two tangents to ellipse x2/a2 +y2/b2=1 which are inclined at angles a and b and a+b=k. (Ans. 2xycotk= x2 -y2 +b2 -a2.)

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