Hits: 191

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#10

Hits: 191   Question Given that ,, a)   Express  in the form , where a and b are integers. The curve C with equation y = f(x), , meets the y-axis at P and has a minimum point at Q.  b)  In the space provided on page 19, sketch the graph of C, showing the coordinates of P and […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#9

Hits: 59   Question The gradient of the curve C is given by The point P(1,4) lies on C. a)   Find an equation of the normal to C at P. b)  Find an equation for the curve C in the form . c)   Using , show that there is no point on C which the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#8

Hits: 122   Question The points A(1,7), B(20,7) and C(p,q) form the vertices of a triangle ABC, as shown in Figure 2. The  point D(8, 2) is the mid-point of AC. a)   Find the value of p and the value of q. The line l, which passes through D and is perpendicular to AC, intersects AB at E. […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#7

Hits: 47   Question The curve C has equation , . The point P on C has x-coordinate 1.  a)   Show that the value of  at P is 3. b)  Find an equation of the tangent to C at P. This tangent meets the x-axis at the point (k,0). c)   Find the value of k. Solution a)   […]