Coordinate Geometry Test - 31

The required point is $$P$$.

Here, the point lies on the $$I$$st quadrant.

The point is at a distance of $$2$$ units right of the $$y$$-axis.

So, its abscissa will be $$2$$.

Also, the point is at a distance of $$1$$ unit above the $$x$$-axis.

So, its ordinate will be $$1$$.
Hence, the co-ordinates of the required point are $$P(2,1)$$.

Therefore, option $$D$$ is correct.

Consider point is $$P$$.

Here, the ordinate is $$0$$ or $$y = 0$$.

Also, the point is at a distance of $$2$$ units right of the $$y$$-axis.

So, its abscissa will be $$+2$$.

Therefore, the point lies on the $$x$$-axis.

Hence, the co-ordinates of the required point are $$P(2,0)$$.

Consider point is $$Q$$.

Here, the abscissa is $$0$$ or $$x = 0$$.

Also, the point is at a distance of $$3$$ units above the $$x$$-axis

So, its ordinate will be $$+3$$.

Therefore, the point lies on the $$y$$-axis.

Hence, the co-ordinates of the required point are $$Q(0,3)$$.

Consider point is $$R$$.

Here, the point is at a distance of $$2$$ units left of the $$y$$-axis.

So, its abscissa will be $$-2$$.

Also, the point is at a distance of $$1$$ unit above the $$x$$-axis.

So, its ordinate will be $$1$$.

Therefore, the point lies in the $$\text{II}^{nd}$$ quadrant.

Hence, the co-ordinates of the required point are $$R(-2,1)$$.

Consider point is $$S$$.

Here, the point is at a distance of $$3$$ units left of the $$y$$-axis.

So, its abscissa will be $$-3$$.

Also, the point is at a distance of $$2$$ unit below the $$x$$-axis.

So, its ordinate will be $$-2$$.

Therefore, the point lies on the $$\text{III}^{rd}$$ quadrant.

Hence, the co-ordinates of the required point are $$S(-3,-2)$$.

Therefore, the only point that lies on the $$x$$-axis is $$P(2,0)$$.

Hence, option $$A$$ is correct.

The required point is $$I$$.

Here, the point is at a distance of $$3$$ units right of the $$y$$-axis $$\implies x=3$$.

Also, the point is at a distance of $$4$$ unit below the $$x$$-axis$$\implies y=-4$$.

Therefore, the co-ordinates of the required point are $$I(3,-4)$$.

Hence, option $$B$$ is correct.