Question

what are the coordinates of the point (on the y-axis) that is equidistant from points A(6,4) and B(3,-2) CORRECT ANS-BRAINLIEST

Answer 1

Question: To find a point on the y-axis that is equidistant from the points A(6,5) and B(-4,3)

Solution:

ATQ, we have to find a point on the y-axis that is equidistant to two points. Let this point be P.

If the point 'P' lies on the y-axis, its 'x' coordinate will be 0. Therefore, the coordinates for this point will be - P(0, y)

Since the 'x' coordinate is 0, We'll find the 'y' co-ordiante by equating the equal sides AP and BP using the distance formula.

A(6, 5)

x₁ → 6

y₁ → 5

B(-4, 3)

x₂ → -4

y₂ → 3

P(0, y)

x₃ → 0

y₃ → y

Therefore the y coordinate is '9', making the point that lies on the y-axis equidistant from the points A(6,5) and B(-4,3) as P(0,9).