R S Aggarwal Solutions for Exercise 1: EXERCISE

Find the distance between the points: $\mathrm{P}(-8,-3)$ and $\mathrm{Q}(-2,-5)$

Find the distance between the points: $\mathrm{R}(a+b,a-b)$ and $\mathrm{S}(a-b,a+b)$

Find the distance of the point $\mathrm{P}(6,-6)$ from the origin.

If a point $\mathrm{P}(x,y)$ is equidistant from the points $\mathrm{A}(6,-1)$ and $\mathrm{B}(2,3),$ find the relation between $x$ and $y$.

Find the distance between the points $P\left(x_1,y_1\right)$ and $Q\left(x_2,y_2\right),$ when $PQ$ is parallel to the $x$-axis.

Find the distance between the points $\mathrm{P}\left(x_1,y_1\right)$ and $\mathrm{Q}\left(x_2,y_2\right),$ when $\mathrm{PQ}$ is parallel to the $y$-axis.

Find the area of $\Delta \mathrm{ABC}$, the midpoints of whose sides $AB$, $BC$ and $CA$ are $D(3,-1), E(5,3)$ and $F(1,-3)$ respectively.

In what ratio is the line segment joining the points $A(-4,2)\text{ and }B(8,3)$ divided by the $y-$axis? Also, find the point of intersection.