Column 1,2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively.Column I, Column 2, Column 3I, $x^2+y^2=a$, (i), $my=m^{2}x+a$, (P), $\left(\frac{a}{m^2},\frac{2a}{m}\right)$II, $x^2+a^2{y}^2=a$, (ii), $y=mx+a\sqrt{m^2+1}$, (Q), $\left(\frac{-ma}{\sqrt{m^2+1}},\frac{a}{\sqrt{m^2+1}}\right)$III, $y^2=4ax$, (iii), $y=mx+\sqrt{a^2{m}^2-1}$, (R), $\left(\frac{-a^{2}m}{\sqrt{a^2{m}^2+1}},\frac{1}{\sqrt{a^2{m}^2+1}}\right)$IV, $x^2-a^2{y}^2=a^2$, (iv), $y=mx+\sqrt{a^2{m}^2+1}$, (S), $\left(\frac{-a^{2}m}{\sqrt{a^2{m}^2+1}},\frac{-1}{\sqrt{a^2{m}^2+1}}\right)$For $a=\sqrt{2},\text{if}$a tangent is drawn to a suitable conic (Column 1) at the point of contact $\left(-1,1\right),$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) $\left(\text{I}\right)\left(\text{i}\right)\left(\text{P}\right)$