Answer:
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.