Question 907764
O(1,5)
A(-3,2) r = {{{sqrt(4^2 + 3^3 )}}} = 5
(x-1)^2 + (y-5)^2 = 5^2 circle’s equation
.........
O(1,5)
B(-2,9) r = {{{sqrt(3^3 + (-4)^2)}}} = 5
........
B(-2,9)
O(1,5) m = 4/-3 = -4/3
m(tangent line) = 3/4
y-9 = (3/4)(x+2)
y = .75x +21/2 (tangent line)
.......
B(-2,9)
E(100,c) m = {{{(9-c)/-102 = 3/4}}} 4(9-c) = -306 c = 270/4 = 67.5 E(100,67.5)
{{{drawing(300,300,   -10,10,-10,10,   
 grid(1),
circle(-3, 2,0.4),
circle(1, 5,0.4),
circle(1, 5,5),
circle(-2, 9,0.4),
graph( 300, 300, -10,10,-10,10, 0, .75x + 10.5))}}}