A) Determine the equation of the circle center at the origin through A(-2;4). Draw a sketch
B) Determine the equation of the tangent to the circle at A.
C) This tangent cuts the x-axis at B. Determine the length of AB.
D) Determine the equation of the other tangent to the circle from B.
ordinarily, I'd say once is enough, but I see I misread part C on your other post. So,
(c) y = 1/2 x + 5
intersects the x-axis at (-10, 0) so AB = √(8^2 + 4^2)
(d) the tangent from B to the circle is
y = -1/2 x - 5