The co-ordinates of the point p(x,y) in the first quadrant on the ellipse $\Large\frac{ x^2}{8}+\frac{y^2}{18}$=1 so that the area of the triangle formed by the tangent at P and the co-ordinate axes is the smallest are given by $$(a)\;(2,3)\qquad(b)\;(\sqrt 8,0)\qquad(c)\;(\sqrt {18}, 0)\qquad(d)none\;of\;these$$

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