Column 1,2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively. Column I, Column 2, Column 3 I, `x^2+y^2=a` , (i), `m y=m^2x+a` , (P), `(a/(m^2),(2a)/m)` II, `x^2+a^2y^2=a` , (ii), `y=m x+asqrt(m^2+1)` , (Q), `((-m a)/(sqrt(m^2+1)), a/(sqrt(m^2+1)))` III, `y^2=4a x` , (iii), `y=m x+sqrt(a^2m^2-1)` , (R), `((-a^2m)/(sqrt(a^2m^2+1)),1/(sqrt(a^2m^2+1)))` IV, `x^2-a^2y^2=a^2` , (iv), `y=m x+sqrt(a^2m^2+1)` , (S), `((-a^2m)/(sqrt(a^2m^2+1)),(-1)/(sqrt(a^2m^2+1)))` If a tangent to a suitable conic (Column 1) is found to be `y=x+8` and its point of contact is (8,16), then which of the followingoptions is the only CORRECT combination? (III) (ii) (Q) (b) (II) (iv) (R) (I) (ii) (Q) (d) (III) (i) (P)