find the coordinates of a point on y axis which is equidistant from M(-5,-2) and N(3,2).
Answers
Answer:
the coordinates of a point on y axis which is equidistant from M(-5,-2) and N(3,2). = (0.-2)
Step-by-step explanation:
Let coordinate which is required to find be X
Since the coordinates of point which is required to find lies on y axis so x coordinate will be 0 and let y coordinate be b
So, coordinate of that point = (0,b)
Distance between X and M
We will use distance formula :
Coordinates of X =
Coordinates of M =
Putting values in distance formula ":
--a
now to find distance between X and N
Coordinates of X =
Coordinates of N =
Putting values in distance formula ":
-b
now since we are given that X must be equidistant from M and N
⇒equation a = equation b
⇒
⇒
⇒
⇒
⇒
⇒
⇒
⇒
⇒
Thus the coordinates of a point on y axis which is equidistant from M(-5,-2) and N(3,2). = (0.-2)