R. D. Sharma Solutions for Chapter: Co-Ordinate Geometry, Exercise 1: EXERCISE 6.1

On which axis does $P(5, 0)$ lies?

On which axis does $Q(0,-2)$ lies?

On which axis does $R(-\mathrm{4,0})$ lies?

On which axis does $S\left(\mathrm{0,5}\right)$ lies?

Let $ABCD$ be a square of side $2a$. Find the coordinates of the vertices of this square when $A$ coincides with the origin and $AB$ and $AD$ are along $OX$ and $OY$ respectively.

Let $ABCD$ be a square of side $2a$. Find the coordinates of the vertices of this square when the center of the square is at the origin and coordinate axes are parallel to the sides $AB$ and $AD$ respectively.

The base $PQ$ of two equilateral triangles $PQR$ and $PQR\text{'}$ with side $2a$ lies along $y-axis$ such that the mid-point of $PQ$ is at the origin. Find the coordinates of the vertices $R$ and $R\text{'}$ of the triangles.