# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#10

Question The curve C has equation y = (x +1)(x + 3)2 a.   Sketch C, showing the coordinates of the points at which C meets the axes. b.   Show that . The point A, with x-coordinate -5, lies on C. c.   Find the equation of the tangent to C at A, giving your answer in the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#3

Question The points P and Q have coordinates (–1, 6) and (9, 0) respectively. The line  is perpendicular to PQ and passes through the mid-point of PQ. Find an equation for , giving your […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#11

Question The curve C has equation  , x>0 a.   Find b.   Show that the point P(4,−8) lies on C. c.   Find an equation of the normal to C at the point P, giving your answer in the form ax + by + c = 0  , where a, b and c are integers. Solution a. […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#10

Question a.   On the axes below, sketch the graphs of i.        ii.     showing clearly the coordinates of all the points where the curves cross the coordinate axes. b.   Using your sketch state, giving a reason, the number of real solutions to the equation Solution a.   i.   We are required to sketch; We need to expand it […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#9

Question The line L1 has equation 2y − 3x − k = 0, where k is a constant. Given that the point A (1, 4) lies on L1, find a.   the value of k, b.   the gradient of L1. The line L2 passes through A and is perpendicular to L1. c.   Find an equation of L2 giving […]