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Column 1,2 and 3 contains conics, equati...

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)))` For `a=sqrt(2),if` a tangent is drawn to a suitable conic (Column 1) at the point of contact `(-1,1),` then which of the following options is the only CORRECT combination for obtaining its equation? (I) (ii) (Q) (b) (III) (i) (P) (II) (ii) (Q) (d) `("I")("i")("P")`

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