Solve and explain

JEE
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1

Screenshot_2022-12-24-21-45-05-31_27548685d5266343684b4c5f418254c0
Screenshot_2022-12-24-21-45-05-31_27548685d5266343684b4c5f418254c0720×131 35.1 KB

2

16734296518886009154279708103076
167342965188860091542797081030761920×2560 236 KB

3

C1c2 = x + y ( how)

4

since both circles are touching externally (see from fig), the distance between centres of two circles is sum of radius of two circles