Chapter 14, Problem 7RP

To determine

To write the equation of locus of points $5$ units from the origin in the coordinate plane.

Answer to Problem 7RP

  $x^2+y^2=25$

Explanation of Solution

Given:

The points that are $5$ units from the origin in the coordinate plane.

Calculation:

The locus is a circle with radius $5$ units and the equation of the circle is given by the following equation-

  ${(x-h)}^2+{(y-k)}^2=r^2$

Here $(h,k)=(0,0)$

And $r=5$ units.

So, the equation of the circle will be −

  $x^2+y^2=25$