A parabola y²=4x cuts the circle with centre at (6,5) orthogonal then the possible points of intersection between the curves are?

To determine the points of intersection between the parabola y²=4x and the circle with center (6, 5), we need to solve the system of equations formed by the two curves.

The equation of a circle with center (h, k) and radius r is given by:
(x - h)² + (y - k)² = r²

In this case, the circle's equation is:
(x - 6)² + (y - 5)² = r²

To find the radius r, we need additional information. If you provide the radius or any other relevant information, we can proceed with the calculation.