If {\T}_1 {\T}_1^{'} and {\T}_2 {\T}_2^{'} are the common tangents of the circles S \equiv x^2+y^2-2 x-4 y-4=0 and S^{'} \equiv x^2+y^2+4 x+4 y+4=0 where {\T}_1, {\T}_1^{'}, {\T}_2, {\T}_2^{'} are the points of contact, then the distance between {\T}_1 and {\T}_1^{'} is [TG EAPCET 13 May 2023 Shift 2]

TS EAMCET Engineering 13 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 51 of 160

Marks: +1, -0

If T1T1′ and T2T2′ are the common tangents of the circles S≡x2+y2−2x−4y−4=0 and S′≡x2+y2+4x+4y+4=0 where T1,T1′,T2,T2′ are the points of contact, then the distance between T1 and T1′ is

[TG EAPCET 13 May 2023 Shift 2]

6√6
5√6
10√6
2√6

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