M L Aggarwal Solutions for Exercise 1: Exercise 11

In what ratio does the point $\left(5, 4\right)$ divide the line segment joining the points $\left(2, 1\right)$ and $\left(7, 6\right)$?

In what ratio does the point $\left(-4, b\right)$ divide the line segment joining the points $P\left(2, -2\right), Q\left(-14, 6\right)$? Hence, find the value of $b$.

If $\mathrm{A}=\left(-4,3\right)$ and $\mathrm{B}=\left(8,-6\right)$, find the length of $\mathrm{AB}$ in units

If $A(-4,3)$ and $B(8,-6)$,

in what ratio is the line joining $AB$, divided by the $x$-axis?

Given a line segment $\mathrm{AB}$ joining the points $\mathrm{A}(-4,6)$ and $\mathrm{B}(8,-3)$. Find the ratio in which $\mathrm{AB}$ is divided by the y-axis.

Given a line segment $AB$ joining the points $A\left(-4, 6\right)$ and $B\left(8, -3\right)$. Find: the length of $AB$.

Calculate the length of the median through the vertex $\mathrm{A}$ of the triangle $\mathrm{ABC}$ with vertices $\mathrm{A}\left(7,-3\right),\mathrm{B}\left(5,3\right),\mathrm{C}\left(3,-1\right)$.

Find the value of $p$ for which the points $\left(-5,1\right),\left(1,p\right)$ and $\left(4,-2\right)$ are collinear.