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Category: Geometry

Question-42154

Question Number 42154 by ajfour last updated on 19/Aug/18 Commented by ajfour last updated on 19/Aug/18 $${If}\:\:{r}\:<\:\boldsymbol{\rho}\:<{R}\:\:{where}\:{r}\:{means} \\ $$$${inradius},\:{and}\:{R}\:{the}\:{cirumradius} \\ $$$${of}\:\bigtriangleup{ABC},\:{then}\:{locate}\:{centre}\:{S} \\ $$$${of}\:{given}\:{circle}\:{inside}\:{triangle} \\ $$$$\left({using}\:{a},{b},{c},\:{and}\:\rho\right)…

Question-42112

Question Number 42112 by Raj Singh last updated on 18/Aug/18 Commented by Raj Singh last updated on 18/Aug/18 $${if}\:{OF}\:{and}\:{OE}\:{is}\:{bisector}\:{of}\:<{BOC} \\ $$$${and}\:<{AOC}\:{and}\:{OE}\:{perpendicalr} \\ $$$${to}\:{OF}\:\:{then}\:{prove}\:{that}\:{A}\:{O}\:{B}\:{is}\:{linear} \\ $$…

i-have-some-thing-to-say-in-this-platform-several-people-students-others-post-questions-others-take-promt-action-to-solve-the-problems-after-the-problem-got-solved-the-person-students-who-post-

Question Number 42045 by tanmay.chaudhury50@gmail.com last updated on 17/Aug/18 $${i}\:{have}\:{some}\:{thing}\:{to}\:{say}…{in}\:{this}\:{platform}\:\:{several} \\ $$$${people}/{students}/{others}\:{post}\:{questions}..{others} \\ $$$${take}\:{promt}\:{action}\:{to}\:{solve}\:{the}\:{problems}.. \\ $$$${after}\:{the}\:{problem}\:{got}\:{solved}..{the}\:{person}/{students} \\ $$$${who}\:{post}\:{questions}\:{never}\:{attend}\:{or}\:{see}\:{the}\:{answer} \\ $$$${even}\:{do}\:{not}\:{clarify}\:{whether}\:{the}\:{answer}\:{is}\:{right} \\ $$$${or}\:{wrong}…{or}\:{whether}\:{he}/{she}\:{got}\:{understood}\:{the} \\ $$$${method}…{so}\:{pls}\:{show}\:{your}\:{courtsey}\:{otherwise} \\…

Question-107572

Question Number 107572 by ajfour last updated on 11/Aug/20 Commented by ajfour last updated on 11/Aug/20 $${The}\:{cones}\:{have}\:{base}\:{radius}\:{r}\:{and} \\ $$$${semi}-{vertical}\:{angle}\:\alpha/\mathrm{2}.\:{Find} \\ $$$${radius}\:{of}\:{the}\:{pink}\:{sphere}\:{that} \\ $$$${touches}\:{the}\:{cones}\:{externally}\:{and} \\ $$$${touches}\:{the}\:{plane}\:{passing}\:{through}…