# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#11

Question The line  passes through the points P(–1,2) and Q(11, 8). a.   Find an equation for  in the form y= mx + c, where m and c are constants. The line  passes through the point R(10, 0) and is perpendicular to . The lines  and  intersect at the point S. b.   Calculate the coordinates of S. c.   Show […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#10

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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#9

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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#3

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. […]