The sum of the slopes of the tangents to...

The sum of the slopes of the tangents to the ellipse `(x^(2))/(9)+(y^(2))/(4)=1` drawn from the point (6, -2) is

`3/4`

`-6/7`

`-8/9`

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Assertion (A) : the sum and product of the slopes of the tangents to the ellipse (x^2)/(9)+(y^2)/(4)=1 drawn from the points (6,-2) are -8/9 ,1. Reason(R): if m_(1),m_(2) are the slopes of the tangents through (x_(1),y_(1)) of the ellipse, then m_(1)+m_(2)=(2x_(1).y_(1))/(x_(1)^(2)-a^(2)) m_(1).m_(2)=(y_(1)^(2)-b^(2))/(x_(1)^(2)-a^(2))

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