A circle has equation (x+4)2+(y−3)2=25(x + 4)^2 + (y - 3)^2 = 25(x+4)2+(y−3)2=25.
Write down the coordinates of the centre of the circle.
Hence find the gradient of the tangent to the circle at the origin.
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.