Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#11

  Question The line  passes through the points P(–1,2) and Q(11, 8). a.   Find an equation for  in the form y= mx + c, where m and c are constants. The line  passes through the point R(10, 0) and is perpendicular to . The lines  and  intersect at the point S. b.   Calculate the coordinates of S. c.   Show […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | June | Q#7

  Question A circle has equation . a.   Find                            i.       the coordinates of the centre of the circle;                          ii.       the radius of the circle in the form , where  is an integer. b.   A chord of the circle has length 8. Find the perpendicular distance from the centre of the circle to  this chord. c.   A line has equation , where  is a constant.                            i.       Show […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | January | Q#5

  Question A circle with centre C has equation   .  a.   By completing  the square, express this equation in the form b.   Write down:                            i.       the coordinates of ;                          ii.       the radius of the circle. c.   The point  has coordinates .                            i.       Find the length of  ;                          ii.       Hence determine whether the point  lies inside or outside the circle, giving a reason for    […]