Question

Find a point on y axis which is at equal distance from (4,-3) and (5,6).

Answer 1

Answer:

Since the point is on Y-axis, {Let the point be (x,y)}

Therefore,

The point is (x,0)

Also let point A -> (4,-3) {We can say these points are x1,y1}

let point B -> (5,6) {We can say these points are x2,y2}

Since the point is also equidistant from the two points hence we can say that it is a midpoint of that line made by those two points.

Formula for calculating the midpoint:

x -> (x1 + x2) / 2

y -> (y1 + y2) / 2

Since we know the value of y therefore we will calculate the value of x:

x -> (4 + 5)/2

x -> 9/2 or 4.5

Ans - Hence the point is (4.5,0)