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Question
On which axis do the following points lie?
R(−4,0)
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Solution
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
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