Question

Find the locus of a point P that moves at a constant distant of two units from the x-axis 

Answer 1

Two units from x-axis:

Let P(h, k) be any point on the required path.

From the given data,

We have k = 2

The locus of P(h, k) is obtained by replacing h by x and k by y.

∴ The required locus is y = 2