Question

Find the points on the coordinate axes that are equidistant from the points
A(–1, 0) and B(0, 3)

Answer 1

Step-by-step explanation:

Since point lies on y-axis, x-coordinate of the point will be zero.

Let P(0,x) be on x-axis which is equidistant from A(−1,0) and B(0,3)

Using section formula:

$x = \frac{(1 \times 3) + 1 \times ( - 1)}{1 + 1}$

or x= 1

Thus, the required point is (0,1).