Question

Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the tangent line at this point?

Answer 1

Length of the radii of the circles → 4 units and 1 unit

Equation of common tangent → x = 4

Explanation:

From the figure attached,

Length of radii of each circles are,

Radius of circle S = 4 units

Radius of circle T = 1 unit

Common point where the circles are touching → (4, 1)

Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,

Equation of the tangent will be,

x = 4