Let T1 , T2 be two tangents drawn from (-2, 0) onto the circle C : x2 + y2 = 1 .(1) Determine thecircles touching C and having T1 , T2 as their pair of tangents.(2) Further, find the equations of allpossible common tangents to these circles, when taken two at a time.NEED NOT EXPLAIN PART(1) BUT PLSS EXPLAIN PART(2)

Arun Kumar IIT Delhi
8 years ago
Hi
for the second part you have a formulae for that
$\\S=x^2 + y^2 - 1 \\SS_1=T^2 \\=>(x^2 + y^2 - 1)(3)=(x*(-2)+y*(0)-1)^2$
I hope you know notation i used its the most common notation.

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty