Acircle has a diameter with endpoints at 15 + 25i and –25 – 17i. which point is also on the circle?

The point 16+24i is the point satisfying the equation

Hence, Option D is correct.

Step-by-step explanation:

We will find mid-point from end points given.

Mid-point formula:

On substituting the values we will get:

Now, we have general equation of circle:

We will find r that is distance from mid-point to end oint using distance formula

Here,

On substituting the values we get:

Hence,

Substituting the values in general equation we get:

[tex]\Rightarrow(x+5)^2+(y-4)^2=841[tex]

And when we substitute x=16 and y=24 the equation will be satisfied

and a=-5 and b=4

Hence, will lie on the circle

Therefore, option D is correct.