Question

find the coordinates of the point which divides the line segment joining the Points (3, 5) and (8, 10) internally in the ratio 3:2​

Answer 1

$\mathtt{Answer = (5,7)}$

step-by-step explanation:

#Using the section formula,

$\tiny{if \: a \: point \: (x,y) \: divides \: the \: line \: joining \: the}\\ \tiny{points \: (x_{1},y_{1})} \: and \: (x_{2},y_{2}) \: internally \: in \: the \: ratio \: m: n,$

$\small{then, \: (x,y) = ( \frac{mx_{2} + nx_{1}}{m + n}, \frac{my_{2} + ny_{1}}{m + n}) }$

$\scriptsize{Substituting \: (x _1,y _ 1) \: = (3,5)} \\ \scriptsize{and(x_2,y_2) = (8,10)} \\ \scriptsize{and \: m = 2,n = 3 \: in \: the \: section \: formula.}$

$\scriptsize{we \: get,the \: point ( \frac{2(8) + 3(3)}{2 + 3},\frac{2(10) + 3(5)}{2 + 3})}=(5,7)$

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