Question

Find a point on Y-axis which is equidistant from the point A(13,2)
and B(12,-3) .

Answer 1

Answer:

(0, 2)

Step-by-step explanation:

Assume C(0, y) is a point on y-axis which is equidistant from the points A(13, 2) and B(12, - 3), then

$d_{AC}$ = $d_{BC}$

13² + (y - 2)² = 12² + (y + 3)²

169 + y² - 4y + 4 = 144 + y² + 6y + 9

173 - 153 = 6y + 4y

10y = 20

y = 2

C(0, 2)