Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
The line is passing through the circle then it intersects the circle at the points (8, -1) and (-1, 8). Option A is correct.
What is a circle?
It is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given
x² + y² = 65 is a equation of circle.
y + x = 7 equation of line.
Let line is passing through the circle then it will intersect the circle at the point. Then
[tex]\rm y = -x + 7[/tex]
Put this equation in the equation of the circle.
[tex]\begin{aligned} x^{2} + (-x + 7)^2 &= 65 \\\\x^{2} +x^{2} + 49 -14x &= 65\\\\2x^{2} - 14x -16 &= 0\\\\x^{2} - 7 x -8 &= 0\\\\(x - 8)(x + 1) &= 0\\\\x &= 8, - 1\end{aligned}[/tex]
For x = 8, y will be
[tex]\rm y = - 8 + 7\\y = -1[/tex]
For x = -1, y will be
[tex]\rm y = -(-1)+ 7\\y = 8[/tex]
Thus, the points are (8, -1) and (-1, 8).
More about the circle link is given below.
https://brainly.com/question/11833983
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.
