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નીચે આપેલી પ્રત્યેક બિંદુ યુગ્મનાં બિંદુઓ વચ્ચેનું અંતર મેળવો. 
(2, 3), B (7, 9)


નીચે આપેલી પ્રત્યેક બિંદુ યુગ્મનાં બિંદુઓ વચ્ચેનું અંતર મેળવો. 
(a + b, b - a), (a - b, a + b) 


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bold X bold minusઅક્ષ- પરના બિંદુ bold P નું bold A bold thin space bold left parenthesis bold 11 bold comma bold space bold 12 bold right parenthesis થી અંતર bold 13 એકમ છે. બિંદુ P ના યામ શોધો.




bold PA to the power of bold 2 bold space bold equals bold space bold left parenthesis bold x subscript bold 1 bold space bold minus bold space bold x subscript bold 2 bold right parenthesis to the power of bold 2 bold space bold plus bold space bold left parenthesis bold y subscript bold 1 bold space bold minus bold space bold y subscript bold 2 bold right parenthesis to the power of bold 2

bold therefore bold space bold left parenthesis bold 13 bold right parenthesis to the power of bold 2 bold space bold equals bold space bold left parenthesis bold x bold space bold minus bold space bold 11 bold right parenthesis to the power of bold 2 bold space bold plus bold space bold left parenthesis bold 0 bold space bold minus bold space bold 12 bold right parenthesis to the power of bold 2

bold therefore bold space bold 169 bold space bold equals bold space bold x to the power of bold 2 bold space bold minus bold space bold 22 bold x bold space bold space bold plus bold space bold 121 bold space bold plus bold space bold 144 bold space

bold therefore bold space bold x to the power of bold 2 bold space bold minus bold space bold 22 bold x bold space bold plus bold space bold 265 bold space bold minus bold space bold 169 bold space bold equals bold space bold 0 bold space

bold therefore bold space bold x to the power of bold 2 bold space bold minus bold space bold 22 bold x bold space bold space bold plus bold space bold 96 bold space bold equals bold space bold 0 bold space

bold therefore bold space bold left parenthesis bold x to the power of bold 2 bold space bold minus bold space bold 16 bold x bold right parenthesis bold space bold left parenthesis bold minus bold 6 bold x bold space bold plus bold space bold 96 bold right parenthesis bold space bold equals bold space bold 0 bold space

bold therefore bold space bold x bold space bold left parenthesis bold x bold space bold minus bold space bold 16 bold right parenthesis bold space bold minus bold space bold 6 bold space bold left parenthesis bold x bold space bold minus bold space bold 16 bold right parenthesis bold space bold equals bold space bold 0 bold space

bold therefore bold space bold left parenthesis bold x bold space bold minus bold space bold 16 bold right parenthesis bold space bold left parenthesis bold x bold space bold minus bold space bold 6 bold right parenthesis bold space bold equals bold space bold 0 bold space

bold therefore bold space bold x bold space bold minus bold space bold 16 bold space bold equals bold space bold 0 bold space અથવા bold therefore bold space bold x bold space bold minus bold space bold 6 bold space bold equals bold space bold 0 bold space
 
bold therefore bold space bold x bold space bold equals bold space bold 16 bold space   અથવા  bold therefore bold space bold x bold space bold equals bold space bold 6 bold space

bold therefore bold space bold P ના યામ  bold left parenthesis bold 16 bold comma bold space bold 0 bold right parenthesis અથવા bold left parenthesis bold 6 bold comma bold space bold 0 bold right parenthesis


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નીચે આપેલી પ્રત્યેક બિંદુ યુગ્મનાં બિંદુઓ વચ્ચેનું અંતર મેળવો. 
(-3, 4) (0, 0)


અંતરસુત્રના ઉપયોગથી બતાવો કે  bold A bold space bold left parenthesis bold 2 bold comma bold space bold 3 bold right parenthesis bold comma bold space bold B bold thin space bold left parenthesis bold 4 bold comma bold space bold 7 bold right parenthesis bold space અને bold C bold space bold left parenthesis bold 0 bold comma bold space bold minus bold space bold 1 bold right parenthesis bold space સમરેખ બિંદુઓ છે. 

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