A circle has centre and radius and passes through the point
MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
A circle has centre (−2,k) and radius 5 and passes through the point (3,1).
(i) Find the value(s) of k.
(ii) Hence write the equation of the circle in standard form.
(iii) Determine whether the point (1,−1) lies inside the circle, on it, or outside it, giving full justification for your answer.