Consider the points P(-2,5), Q(10, -11), and R(12, y) in the Cartesian plane. a. Find the standard equation of the circle having P and Q as endpoints of a diameter. b. Find the slope-intercept form of the equation of the line passing through the center of the circle 2² + y² + 8x - 4y - 5 = 0 and is perpendicular to the line passing through P and Q. 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.

Q: Write the standard equation for the circle. center (10, -6), r = 6 O a 2 (x + 10) + (y - 6) = 6 O b…

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

Q: Points A(p, 6), B(-3, q), and C(r, 8) are on a line whose equation is y = -2x + 3. Find the unknown…

A:

Q: Write (in standard form) the equation of a circle with center C(-4, 3) and containing point P(-2, 6

A: To find the equation of circle

Q: Plot the points in the city circle with center  (−3, −4)  and radius r = 2 blocks.

A: To Plot the points in the city circle with center  (−3, −4)  and radius r = 2 blocks.

Q: Let A(-2,7) and B(14,-5) be points in the plane.   Find an equation of the circle for which AB is…

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