Find all points having an x-coordinate of 3 whose distance from the point left parenthesis negative 1 comma negative 6 right parenthesis is 5.

The required points are (3,-3) and (3,-9)

Step-by-step explanation:

The distance between 2 points is given by

Let all the required points have co-ordinates of (3,y), thus according to the given condition we have

Distance between equals 5

Applying values in the above equation we get

Solving the quadratic equation in 'y' we get