3.) Given the circle x2 + y2 = 20 a) Determine the coordinates of the points on the circle where y = 4. b) Let A be the point where y = 4 in the first quadrant. Determine the slope of the radius to point A. c) Write the equation of the tangent line to the circle at point A. d) Let B be the point where y = 4 in the fourth quadrant. Write the equation of the tangent line to the circle at point B. e) Determine the intersection of the two tangent 4.) Let a circle entered at the origin, C, have a point P at (4,2) a) Write the equation for the circle C b) Determine the slope of CP c) Write the equation of the line tangent to circle C at point P 5.) Given the circle (x - 3)2 + (y - 4)2 = 5 a) verify the point P(4,6) is on the circle. b) Write the equation of the line tangent to the given circle at P 6.) Let the line with the equation x - 2y = 15 and the circle with equation x2 + y2 = 50 intersect at Points A and B. a) Find the coordinates of A and B using the given information. b) the given equations and verify that your coordinates for A and B correspond to the graph c) Determine the midpoint, M, of AB d) Show that AB is perpendicular to the radius drawn through the midpoint, M, of AB
3.) Given the circle x2 + y2 = 20 a) Determine the coordinates of the points on the circle where y = 4. b) Let A be the point where y = 4 in the first quadrant. Determine the slope of the radius to point A. c) Write the equation of the tangent line to the circle at point A. d) Let B be the point where y = 4 in the fourth quadrant. Write the equation of the tangent line to the circle at point B. e) Determine the intersection of the two tangent 4.) Let a circle entered at the origin, C, have a point P at (4,2) a) Write the equation for the circle C b) Determine the slope of CP c) Write the equation of the line tangent to circle C at point P 5.) Given the circle (x - 3)2 + (y - 4)2 = 5 a) verify the point P(4,6) is on the circle. b) Write the equation of the line tangent to the given circle at P 6.) Let the line with the equation x - 2y = 15 and the circle with equation x2 + y2 = 50 intersect at Points A and B. a) Find the coordinates of A and B using the given information. b) the given equations and verify that your coordinates for A and B correspond to the graph c) Determine the midpoint, M, of AB d) Show that AB is perpendicular to the radius drawn through the midpoint, M, of AB
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