The value of y works out as -3 because both points must be equal distance from the center of the circle at (5, 2) and so the points are (2, -3) and (8, 7)
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Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.
A secant is a line that passes through a point on the circle and the center of the circle. It intersects the circle at two different points.
diameter
Yes, a diameter is a line that goes between two points on the circumference of a circle and passes through the center point.
diameter