યામભુમિતિ

ગણિત ધોરણ ૧૦

ગણિત

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CBSE Gujarat Board Haryana Board

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યામભુમિતિ

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

bold A bold space bold left parenthesis bold 2 bold comma bold space bold minus bold space bold 3 bold right parenthesis bold comma bold space bold B bold left parenthesis bold 7 bold comma bold space bold 9 bold right parenthesis bold therefore bold space bold AB 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 equals bold space bold left parenthesis bold 2 bold space bold minus bold space bold 7 bold right parenthesis to the power of bold 2 bold space bold plus bold space bold left parenthesis bold minus bold 3 bold space bold minus bold space bold 9 bold right parenthesis to the power of bold 2 bold space bold equals bold space bold 25 bold space bold plus bold space bold 144 bold space bold equals bold space bold 169 bold space

bold therefore bold space bold AB bold space bold equals bold space bold 13 bold space

bold X bold minus

અક્ષ- 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.

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

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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