Circles | JEE Delight | A circles which cuts the three circles orthogonally

Circles | JEE Delight | A circles which cuts the three circles orthogonally

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[XXXXXX-wv]

The centres or two circles C1 and C2 each of unit radius are at a distance of 6 units from each other. Let P be the midpoint of the line segment joining the centres of C1 and C2 and C be a circle touching cirdles C1 and C2 externally. If a common tangent to C1 and C passing through P is also a common tangent C2 and C, then radius of the circle C is

[official-adityadixit]

Sir, it was a good session, I've been watching your JEE Delights videos (not regularly) time to time, as it invokes thinking which helps to solve non-standard problems across different units of mathematics. Sir, i currently have about 4 months left for the JEE ADV 23 and the only thing I have to conceptually work on are the Limits, Continuity, Differentiability part at an advance level. I wanted to ask how should I exactly go about to use the symposium & compendium? Do tell a bit on how i should utilise those.

[Entropic_AYAN]

Sir please look into my comments please
Sir please taught us statistics chapter as it is included in jee advanced and jee can make interesting conceptual questions by mixing this and other chapters so please teach us full statistics

[knowledgetrix]

Sir please give questions from vectors and 3D, also please upload videos like problem per day which are highly difficult and relevant for jee advanced