Question

Find the coordinates of points which are equidistant from these two points P(0,5) and Q(0,-5).

A) (0,0)
B) (0,5)
C)(0,−5)
D) (0,10)

Answer 1

To find the points that are equidistant from two given points, we can first find the midpoint between the two points and then find the points that are equidistant from the midpoint.

Step-by-step explanation:

To find the points that are equidistant from two given points, we can first find the midpoint between the two points and then find the points that are equidistant from the midpoint.

The midpoint between P(0,5) and Q(0,-5) is M(0,0) since the x-coordinate remains the same and the y-coordinate is the average of the y-coordinates of P and Q.

Now, any point that lies on the y-axis, such as (0,5) and (0,-5), will be equidistant from both P and Q, since the distance from any point on the y-axis to M will be the same.

Therefore, the coordinates that are equidistant from P and Q are :

A) (0,0)

B) (0,5)

C) (0,-5)

D) (0,10)