Question The curve C has equation The point P has coordinates (2, 7). a) Show that P lies on C. b) Find the equation of the tangent to C at P, giving your answer in the form y=mx+c, where m and c are constants. The point Q also lies on C. Given that the tangent to […]
Question The points A and B have coordinates (6, 7) and (8, 2) respectively. The line passes through the point A and is perpendicular to the line AB, as shown in Figure 1. a) Find an equation for in the form ax + by + c = 0, where a, b and c are integers. Given that […]
Question The curve C has equation , The point P on C has x-coordinate equal to 2. a. Show that the equation of the tangent to C at the point P is y = 1 – 2x. b. Find an equation of the normal to C at the point P. The tangent at P meets the […]
Question The line passes through the point A (2, 5) and has gradient . a. Find an equation of , giving your answer in the form y = mx + c. The point B has coordinates (–2, 7). b. Show that B lies on . c. Find the length of AB, giving your answer in the form […]
Question The point P (1, a) lies on the curve with equation y = (x + 1)2(2– x). a. Find the value of a. b. On the axes below sketch the curves with the following equations: i. y = (x + 1)2(2– x) ii. On your diagram show clearly the coordinates of any points at […]