Hits: 114

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#11

Hits: 114 Question The curve C has equation  , where k is a constant. a.   Find . The point P, where x=-2, lies on C. The tangent to C at the point P is parallel to the line with equation 2y – 17x – 1=0. Find b.  the value of k. c.  the value of y-coordinate of P. d.  the equation of […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#10

Hits: 161   Question The points P(0, 2) and Q(3, 7) lie on the line , as shown in Figure. The line  is perpendicular to , passes through Q and crosses the x-axis at the point R, as shown in Figure. Find a.   an equation for , giving your answer in the form ax + by + […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#8

Hits: 91 Question The straight line with equation y = 3x – 7 does not cross or touch the curve with equation y = 2px2 – 6px + 4p, where p is a constant. a.   Show that 4p2 – 20p + 9 < 0 b.   Hence find the set of possible values of p. Solution a.   […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2016 | June | Q#7

Hits: 116   Question The diagram shows the sketch of a curve and the tangent to the curve at P. The curve has equation  and the point P(-2,24) lies on the curve. The tangent at P  crosses the x-axis at Q. a.                       i.               Find the equation of the […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2016 | June | Q#6

Hits: 39   Question a.  A curve has equation .                     i.               Find the values of x where the curve crosses the x-axis, giving your answer in the form   , where m and n are integers.                   ii.               Sketch the curve, giving the value of the y-intercept. b. A line has equation  , where k is a constant.                     i.               Show that the x-coordinates of any points […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2016 | June | Q#5

Hits: 64   Question A circle with center C(5,-3) passes through the point A(-2,1). a.   Find the equation of the circle in the form b.   Given that AB is a diameter of the circle, find the coordinates of the point B. c.   Find an equation of the tangent to the circle at the point A, giving your answer […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2016 | June | Q#1

Hits: 41   Question The line AB has equation . a.   The line AB is parallel to the line with equation .  Find the value of m. b.    The line AB intersects the line with equation  at the point B. Find the coordinates of B. c.    The point with coordinates  lies on the line AB. Find the value of […]