Question

What is the distance between T(9, -5) and the center of the circle with equation (x...

What is the distance between T(9, -5) and the center of the circle with equation (x - 6)^2 + (y + 1)^2 = 10?

Options:

a. 5

b. 10

c. 6

d. 1

Please explain your answer.

Math   Algebra   
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Homework Answers

Answer #1

Given circle equation is,

The general equation of circle is

Where, (h,k) is the center of circle

Comparing with the general equation of circle,

can be written as,

Here,

So, center of circle is,

Distance from center C (6,-1) and T(9,-5) is,


Therefore,

The answer is Option(a) 5

Distance between T(9,-5) and the center of circle is 5

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