which of the following points has a distance of 10 from the point (-1,2)

Answer 1

To find the points that are at a distance of 10 from the point (-1,2), we can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's denote the coordinates of the point we want to find as (x, y).

Using the distance formula and substituting the values, we have:

10 = sqrt((x - (-1))^2 + (y - 2)^2)

Squaring both sides, we get:

100 = (x + 1)^2 + (y - 2)^2

Expanding, we have:

100 = x^2 + 2x + 1 + y^2 - 4y + 4

Rearranging, we have:

x^2 + 2x + y^2 - 4y + 5 = 0

Now we have the equation of a circle with center (-1, 2) and radius 10.

The options are not provided, so without the given options, we cannot determine the exact coordinates of the points that are at a distance of 10 from the point (-1,2).