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The line is passing through the circle then it intersects the circle at the points (8, -1) and (-1, 8). Option A is correct.
<h3>What is a circle?</h3>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
Put this equation in the equation of the circle.
For x = 8, y will be
For x = -1, y will be
Thus, the points are (8, -1) and (-1, 8).
More about the circle link is given below.