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))`

Options

A. A true, R true & R is correct exp. of A
B. A true, R true & R is not correct explanation of A
C. A true, R false
D. A false, R true

Answer

D