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.

Option 4 : 16+24i

Step-by-step explanation:

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

Centre =

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

i believe that the slope of the line is -5step-by-step explanation:...Read More

1 more answers

They have to let you pass middle school...Read More

2 more answers

a=24; b=12step-by-step explanation: a/b=2: 1a=2b36/(1+2)=12b=12a=24...Read More

1 more answers

answer: b) step-by-step explanation: its a dot plot because since the score is not high numbers.- r3ktforgood ☕...Read More

1 more answers

D.[tex]d \: she \: made \: a \: mistake[/tex]...Read More

1 more answers

- Nineteen cards numbered from 1 through 19 are placed into a box and tw...
- In a 3 hour examination of 350 questions, there are 50 mathematics pro...
- The probability of a football team winning a match is 0.3. the probabi...
- Which characteristics are shared by electromagnetic and mechanical wav...
- Irwin's science class is competing to see who can build the tallest to...
- A10 kilogram object suspended from the end of a vertically hanging spr...
- The conclusion for a test statistic is either to reject the null hypot...
- Solve equation (10) from section 7.4 l di dt + ri(t) + 1 c t i(τ) dτ 0...
- Find \displaystyle\lim_{x\to 3}\big(h(x)g(x)\big) x→3 lim (h(x)g(x))...
- Atall cylinder with a cross-sectional area 13.0 cm2 is partially fille...