Question The curve C with equation y=f(x), x ≠ 0, passes through the point . Given that a. find f(x). b. Verify that f(–2) = 5. c. Find an equation for the tangent to C at the point (–2, 5), giving your answer in the form ax + by + c = 0, where a, b […]
Question Figure 2 shows part of the curve C with equation The curve cuts the x-axis at the points P, (1, 0) and Q, as shown in Figure 2. a. Write down the x-coordinate of P, and the x-coordinate of Q. b. Show that . c. Show that y=x+7 is an equation of the tangent to […]
Question The line L has equation y=5 – 2x. a. Show that the point P (3, –1) lies on L. b. Find an equation of the line perpendicular to L, which passes through P. Give your answer in the form ax + by + c = 0, where a, b and c are integers. […]