Question

Find the co-ordinates of a point which divide the segment AB in the ration 3:5 internally, where A (4 , –1 ) and B(–2, 4)

Answer 1

hope this helps you☺️☺️

Answer 2

Answer:

$\large P(\dfrac{7}{4}, \ \dfrac{7}{8})$

Step-by-step explanation:

Given AB is a line segment and divide 3 : 5 internally.

We have two coordinates points A ( 4 , - 1 )  and  B ( - 2 , 4 ) .

We have to find  coordinate P which divide 3 : 5

We know formula for internal division.

$\large x=\dfrac{m_1x_2+m_2x_1}{m_1+m_2} \ and \ for \ y=\dfrac{m_1y_2+m_2y_1}{m_1+m_2}$

putting values in the formula we get

$\large x=\dfrac{3\times-2+5\times4}{3+5}\\\\\\\large x=\dfrac{-6+20}{8}\\\\\\\large x=\dfrac{14}{8}\\\\\\\large x=\dfrac{7}{4}\\\\\\\large \text{Similarity for y}\\\\\\\large y=\dfrac{3\times4+5\times-1}{3+5}\\\\\\\large y=\dfrac{12-5}{8}\\\\\\\large y=\dfrac{7}{8}\\\\\\\large \text{Thus we get point P(\dfrac{7}{4}, \ \dfrac{7}{8}) }$