Question

if a and P divides the line segment obtained by joining the points for,(4 - 3)and (8, 5)ratio 3: 1 then find the coordinates of the point P​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• Line segment is obtained by joining the points (4 , -3) & (8 , 5)

• Point 'P' divides the line segment in the ratio 3:1

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$\red{\underline \bold{To \: Find:}}$

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• The coordinates of the point 'P'

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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Let the coordinates of point P be (x , y)

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Point 'P' divides the line segment in the ratio 3:1

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$\underline{\bold{\texttt{By section formula}}}$

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The coordinates of the point dividing the line segment joining $\rm (x_1, y_1)$ and $\rm (x_2, y_2)$ in the ratio m : n internally is given by :

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$\purple\longrightarrow$ $\sf (\dfrac { mx_2 + nx_1 } { m + n } ,\dfrac { my_2 + ny_1 } { m + n })$

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$\sf \longmapsto (\dfrac { 3\times8 + 1\times4 } { 3 + 1 } ,\dfrac { 3\times5 + 1\times-3 } { 3 + 1})$

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$\sf \longmapsto (\dfrac { 24 + 4 } { 4 } , \dfrac { 15 - 3 } { 4 })$

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$\sf \longmapsto (\dfrac { 28 } { 4 } , \dfrac { 12 } { 4 })$

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$\sf \longmapsto ( 7 , 3 )$

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Hence coordinates of point 'P' is (7 , 3)

$\rule{200}5$

Answer 2

Step-by-step explanation:

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