1.

Let S1 and S2 be circles of radii 1 and r (r > 1) respectively touching the coordinate axes. Column-1: Conditions between circles S1 and S2 Column-2: Values of r for conditions in Column-1. Column-3: Number of common tangents between S1 and S2 for conditions in column-1. Column 1Column 2Column 3(I)S2 passes through the centre(i)3(P)1of S1.(II)S1 and S2 touch each other(ii)2+√2(Q)2(III)S1 and S2 are orthogonal(iii)2+√3(R)3(IV)S1 and S2 have longest(iv)3+2√2(S)4common chord Which of the following options is the only CORRECT combination?

Answer»

Let S1 and S2 be circles of radii 1 and r (r > 1) respectively touching the coordinate axes.
Column-1: Conditions between circles S1 and S2
Column-2: Values of r for conditions in Column-1.
Column-3: Number of common tangents between S1 and S2 for conditions in column-1.
Column 1Column 2Column 3(I)S2 passes through the centre(i)3(P)1of S1.(II)S1 and S2 touch each other(ii)2+2(Q)2(III)S1 and S2 are orthogonal(iii)2+3(R)3(IV)S1 and S2 have longest(iv)3+22(S)4common chord

Which of the following options is the only CORRECT combination?




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