Question

Find the point on y axis equidistant from (-5,2) and (9,-2)

Answer 1

AnswEr :-

(-5,2)____________________________(9,-2)

Let us consider the given points are A(-5,2) B(9,-2) & the point on y - axis be (0,y)

By using Distance Formula:

By using Distance Formula:√(x2 - x1)² + (y2 - y1)²

Here x1 = -5 & x2 = 9

y1 = 2 & y2 = -2

Putting Values

=> √(y -2)² + (0+5)² = √(y +2)² + (0 -9)²

= (y - 2)² + 25 = (y + 2)² + 81

Squaring both sides

= y² + 4 - 4y = y² + 4y + 4 + 56

= 8y = -56

= y= -7

So the Point is (0,-7)