Question: with detailed solution V 3x + 4. (3 points) 2. Consider the points P(-2, 5), Q(10, -11), and R(12, y) in the Cartesian plane. I

with detailed solution

V 3x + 4. (3 points) 2. Consider the points P(-2, 5), Q(10, -11), and R(12, y) in the Cartesian plane. I a. Find the standard equation of the circle having P and Q as endpoints of a diameter. (3 points) b. Find the slope-intercept form of the equation of the line passing through the center of the circle x2 + y2 + 8x -4y -5 =0 and is perpendicular to the line passing through P and Q. (4 points) c. Find all possible values of y so that the points P, Q, and R are vertices of a right triangle with PQ as the hypotenuse. (5 points)

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