Tag: section and mid-point formula
Questions Related to section and mid-point formula
STATEMENT - 1 : The coordinates of the point P(x, y) which divides the line segment joining the points A$(x _1, y _1)$ and B$(x _2, y _2)$ internally in the ration $m _1$ : $m _2$ are $\left ( \dfrac{m _1 x _2 -m _2 x _1}{m _1 + m _2} , \dfrac{m _1 y _2 - m _2 y _1}{m _1 + m _2}\right )$
STATEMENT - 2 : The mid-point of the line segment joining the points P $(p _1 y _1)$ and Q$(x _2, y _2)$ is $\left ( \dfrac{x _1+x _2}{2} , \dfrac{y _1 + y _2}{2} \right )$
The ratio in which the joining of (-3,2) and (5,6) is divided by the y-axis is
Consider points $A(-1,3), B(-1,2)$. Find point $P$ which divides $AB$ externally in $\dfrac{5}{4}$.