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# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#11

Hits: 22   Question The curve C has equation y=f(x), x>0, where Given that point P(4,5) lies on C, find a.   f(x) b.   an equation of the tangent 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 2010 | June | Q#10

Hits: 99   Question a.   On the axes below sketch the graphs of                                     i.       y = x (4 – x)                                    ii.       y = x2 (7 – x) showing clearly the coordinates of the points where the curves cross the coordinate axes. b.   Show that the x-coordinates of the points of intersection of y = x (4 – x) and […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#8

Hits: 26   Question a.   Find an equation of the line joining A (7, 4) and B (2, 0), giving your answer in the form  ax+by+c=0, where a, b and c are integers. b.   Find the length of AB, leaving your answer in surd form. The point C has coordinates (2, t), where t > 0, […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#4

Hits: 23   Question a)   Show that x2 + 6x + 11 can be written as (x + p)2 + q, where p and q are integers to be found. b)  In the space at the top of page 7, sketch the curve with equation y = x2 + 6x +11, showing clearly  any intersections with the coordinate axes. […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | January | Q#10

Hits: 488   Question f(x) = x2 + 4kx + (3+11k), where k is a constant. a)   Express f(x) in the form (x + p)2 + q, where p and q are constants to be found in terms of k.  Given that the equation f(x) = 0 has no real roots, b)  find the set of possible […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | January | Q#9

Hits: 99   Question a)   Factorise completely x3 – 4x b)  Sketch the curve C with equation y = x3 – 4x showing the coordinates of the points at which the curve meets the x-axis. The point A with x-coordinates -1 and the point B with x-coordinate 3 lie on the curve C. c)   Find an equation of the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | January | Q#6

Hits: 32   Question The curve C has equation  , x>0 a.  Find  in its simplest form. b.  Find an equation of the tangent to C at the point where x=2. Solution a.   We are given; We are required to find . Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | January | Q#3

Hits: 25 Question The line  has equation 3x+5y-2=0. a.   Find the gradient of line for . The line  is perpendicular to  and passes through the point (3,1). b.   Find the equation of  in the form y=mx+c, where m and c are constants.. Solution a.   We are given equation of the line  as; We are required to find the gradient of […]