Math, asked by xxiTzSiLeNtKiLlErxx, 11 months ago

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Answered by KaushikAryan07
3

Answer:

Step-by-step explanation:

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Answered by Anonymous
53

Step-by-step explanation:

\Large{\red{\underline{\underline{\sf{\blue{Given:}}}}}}

  • Two circles have centre O and O' respectively which intersects at P.
  • CD || OO'

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\Large{\green{\underline{\underline{\sf{\red{To\:prove:}}}}}}

  • CD = 2OO'

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\Large{\red{\underline{\underline{\sf{\pink{Solution:}}}}}}

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From the fig. we can see that CD is formed by joining of two cords of two circles,

i.e \tt CD\:=\:CP\:+\:PD

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We know that,

\sf{\blue{\underline{\red{diamter\:is\:the\:longest\:chord\:in\:any\:circle.}}}}

\sf \implies CP\:=\:CD\:=\:Diametre\:of\:circle

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we know that,

\tt Diametre\:=\:2\times Radius

\sf \implies CP\:+\:CD\:=\:2O\:+2O'

\sf \hookrightarrow CD\:=\:2OO'

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