A circle has equation (x+3)2+(y−4)2=25(x + 3)^2 + (y - 4)^2 = 25(x+3)2+(y−4)2=25.
The gradient of the tangent to the circle at the point P P\,P is 34\displaystyle \frac{3}{4}43.
Find the possible coordinates of PPP.
292 exam-style questions on Edexcel A Level Maths Circles, covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles. Each one has a worked solution and a mark scheme showing where the marks go.