aytawekmbiye
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

If two lines y = x and y = x - 4 are tangent to a circle at ( 2, 2 ) and ( 4,0 ) respectively, then what is the equation of the circle?​

Sagot :

balendrathakuree

Answer:

i don't known

Step-by-step explanation:

and your school is opened or not

The equation of the circle with the given parameters is (x-3)² + (y-1)² = 2.

We need to find the equation of the circle.

What is the circle equation?

We know that the general equation for a circle is ( x - h )² + ( y - k )²= r², where ( h, k ) is the centre and r is the radius.

Let centre O be (a,b).

(a-2)² + (b-2)² = (a-4)² +b² , Or, a-b = 2

Means centre is (b+2, b)

Distance of centre from x-y=0 is 2/√2 = √2 =radius

Distance between centre and (4,0) = Also radius

(b-2)² +b² = 2 or, b² -2b +1= 0 or b = 1,

So centre is (3,1) and the equation of the circle is (x-3)² + (y-1)² = 2.

Therefore, the equation of the circle is (x-3)² + (y-1)² = 2.

To learn more about the equation of the circle visit:

https://brainly.com/question/10618691.

#SPJ2

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.