# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#10

Question Figure 1 shows a sketch of the curve C with equation y = f(x) where f (x) = x2(9 –2x) There is a minimum at the origin, a maximum at the point (3, 27) and C cuts the x-axis at the point  A. a.   Write down the coordinates of the point A. b.   On separate […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#9

Question The line L1 has equation 4y + 3 = 2x. The point A (p, 4) lies on L1. a.   Find the value of the constant p. The line L2 passes through the point C (2, 4) and is perpendicular to L1. b.   Find an equation for L2 giving your answer in the form ax + by […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#8

Question Where p and q are integers. a.   Find the value of p and the value of q. b.   Calculate the discriminant of  . c.  On the axes on page 17, sketch the curve with equation  showing clearly the  coordinates of any points where the curve crosses the coordinate axes. Solution a.   We have the expression; We […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#7

Question The point P(4,–1) lies on the curve C with equation y = f(x), x > 0, and a.   Find the equation of the tangent to C at the point P, giving your answer in the form y = mx + c,  where m and c are integers. b.   Find f(x). Solution a.   We are required to […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#10

Question Figure 2 shows a sketch of the curve C with equation  , x ≠ 0 The curve crosses the x-axis at the point A. a.   Find the coordinates of A. b.   Show that the equation of the normal to C at A can be written as 2x+8y−1=0 The normal to C at A meets C again at the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#6

Question The line  has equation 2x − 3y +12 = 0. a.   Find the gradient of . The line  crosses the x-axis at the point A and the y-axis at the point B, as shown in Figure. The line  is perpendicular to  and passes through B. b.   Find an equation of . The line  crosses the x-axis at the point […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#5

Question The curve C has equation y=x(5−x) and the line L has equation 2y=5x+4. a.   Use algebra to show that C and L do not intersect. b.   In the space on page 11, sketch C and L on the same diagram, showing the coordinates of the  points at which C and L meet the axes. Solution […]