The point 16+24i is the point satisfying the equation
Hence, Option D is correct.
We will find mid-point from end points given.
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
On substituting the values we get:
Substituting the values in general equation we get:
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.
The answer is: D, 16+24i!
Option 4 : 16+24i
Given a circle has a diameter with end points at(15+25i) and (-25-17i)
Centre would be the mid point of these two points
Out of given four points to find which point lies on the circle
If a point lies on the circle then it would have distance from centre equal to radius.
Radius = distance between two given points/2
Let us calculate distance form each point.
i)-15+2i: distance from -5+4i= 10.19
ii) 0+0i : distance from -5+4i = 6.40
iii) 15+17i : Distance from -5+4i = 23.85
iv) 16+24i: distance from -5+4i= 29
Hence only 4th point lies on the circle