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उस बिंदु को ज्ञात कीजिए जो बिंदुओं O (0,0,0) , A(a,0,0) , B(0,b,0) तथा C (0,0,c) से समदूरस्थ हैं ।

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उस बिंदु को ज्ञात कीजिए जो बिंदुओं O (0,0,0) , A(a,0,0) , B(0,b,0) तथा C (0,0,c) से समदूरस्थ हैं ।
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माना अभीष्ट बिंदु P `-=` OP = AP `rArr OP^(2) = AP^(2)`
इसलिए `x^(2) + y^(2) + z^(2) = (x -a)^(2) + y^(2) + z^(2) `
`rArr x^(2) = (x - a)^(2) rArr x = (a)/(r)`
इसी प्रकार OP = BP `rArr y = b/2` तथा OP = CP `rArr z = c//2`
अतः P के निर्देशांक = `((a)/(2) ,(b)/(2),(c)/(2))`
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