Find the value of positive values …
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Rajan Kumar Pasi 6 years, 5 months ago
Didn't you study well, very easy question? looks like you are not trying to make it by yourself first.
Question: Find the value of positive values of m for which the distance between the points A(5,-3)B(13,m)is 10 unit?
Solution: Here it is given that the distance between AB is 10, then using the distance formula.
{tex}\large AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}{/tex}
{tex}\large 10=\sqrt{(13-5)^2+(m-(-3))^2}{/tex}
{tex}\large 100={64+(m+3)^2}{/tex}
{tex}\large 100-64=36=(m+3)^2{/tex}
{tex}\large \pm6=m+3{/tex}
{tex}\large Now,m=6-3\space\space\space\space or\space\space\space\space m=-6-3{/tex}
{tex}\large Now,\boxed {m=3}\space\space\space\space or\space\space\space\space\boxed {m=-9}{/tex}
0Thank You