Question

On which axis do the following points lie?

R(−4,0)

Answer 1

According to the Rectangular Cartesian Co-ordinate system of representing a point (x, y),

If x >  0, y > 0 then the point lies in the 1st quadrant

If x < 0, y > 0 then the point lies in the 2nd quadrant

If x < 0, y < 0  then the point lies in the 3rd quadrant

If x > 0, y < 0 then the point lies in the 4th quadrant

But in case

if `x = 0, y != 0`then the point lies on the y-axis

if `y =0, x != 0` then the point lies on the x-axis

Here the point is given to be R (-4, 0). Comparing this with the standard form of (x, y) we have

x = -4

y = 0

Here we see that `y = 0, x != 0`

Hence the given point lies on the x-axis