# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#11

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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#8

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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#11

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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#10

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 […]