Math, asked by niteshshaw723, 3 months ago

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Answered by aryan073
2

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✒ If (2,p) is the midpoint of the line segment joining the points A(6,-5) and B(-2,11) ,find the value of P.

\mathtt{\huge{\underline{\red{Answer\: :}}}}

  \red \diamondsuit\large \color{teal} {\bold{ \underline{step \: by \: step \: explaination : }}}

\green{\frak{Given}} \begin{cases} \bf{ (2,p) \: is \: the \: midpoint \: of \: the \: line \: segment } \\ \\ \bf{A=(6,-5) \: \: B=(-2,14)  .........given coordinates } \end{cases}

To Find :

  • the value of P=?

SOLUTION:

\large\underline{\sf{\color{red} By \: using \: midpoint \: Formula }}

\\ \bigstar\large\displaystyle\sf{x=\dfrac{x_1+x_2}{2}}

 \:   \\  \implies\large \displaystyle \bf \: x =  \frac{x1 + x2}{2}

 \:   \\   \implies  \large\displaystyle \sf \: x =  \frac{6  + ( -2)}{2}  =  \frac{6 - 2}{2}

 \:  \implies \large \displaystyle \sf \: x =  \frac{4}{2}  =  \cancel \frac{4}{2 }  = 2

\implies\boxed{\bf{\color{olive}x=2}}

 \:    \bigstar \large \displaystyle \bf \:  \: y =  \frac{y1 + y2}{2}

 \:  \implies \large \displaystyle \sf \: y =  \frac{ - 5 + 11}{2}  =  \frac{6}{2}

 \implies \large \displaystyle \sf \: y =  \frac{6}{2}  =  \cancel \frac{6}{2}  = 3

\implies\boxed{\bf{\color{olive}y=3}}

\large\boxed{\bf{The \: midpoint \: will \: be (2,3)}}

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Answered by shyamsundarpanda30
1

Answer:

your answer is given in the attachment hope that helps you it is not this questions answer it is the answer of the last question you have asked but I didn't answer because no option is coming for answers So,I give your answer here please don't mind

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