Columns 1,2 and 3 contain conics, equations of tangents to the conics and points of contact, respectively.
Column−1Column−2Column−3(I)x2+y2=a2(i)my=m2x+a(P)(am2,2am)(II)x2+a2y2=a2(ii)y=mx+a√m2+1(Q)(−ma√m2+1,a√m2+1)(III)y2=4ax(iii)y=mx+√a2m2−1(R)(−a2m√a2m2+1,1√a2m2+1)(IV)x2−a2y2=a2(iv)y=mx+√a2m2+1(S)(−a2m√a2m2−1,−1√a2m2−1)
For a=√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?