Mathematics (AS & A Level) · May / June 2019 · Paper 12 · Question 9

The curve C1 has equation y = x2 −4x + 7. The curve C2 has equation y2 = 4x + k, where k is a constant. The tangent to C1 at the point where x = 3 is also the tangent to C2 at the point P. Find the value of k and the coordinates of P. [8] 13

Read automatically from the paper; the printed page above is exact.