Question

How many points are there on the x-axis whose distance from the point(2,3)is less than 3 units

Answer 1

Dear student
$$\begin{gathered} \mathrm{Since}\mathrm{the}\mathrm{distance}\mathrm{of}\mathrm{the}\mathrm{point}\left(2,3\right)\mathrm{from}\mathrm{x}\mathrm{axis}=\left|3\right|\mathrm{units}=3\mathrm{units}.\mathrm{So} \\ \mathrm{there}\mathrm{is}\mathrm{no}\mathrm{point}\mathrm{on}\mathrm{x}\mathrm{axis}\mathrm{whose}\mathrm{distance}\mathrm{from}\mathrm{the}\mathrm{point}\left(2,3\right) \\ \mathrm{can}\mathrm{be}\mathrm{less}\mathrm{than}3\mathrm{units}. \end{gathered}$$
Regards