Quadratics (AQA-MPC1-2010) Archives — O/A Level Solutions

Hits: 59

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | June | Q#7

Hits: 59 Question a. i.Express  in the form  , where p and q are integers. ii.Use your result from part (a)(i) to explain why the equation  has no real roots. b.The quadratic equation  has real roots. i.Show that . ii.Hence find the possible values of k.   Solution a. i. We have the expression; We use method of “completing square” to obtain the […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#7

Hits: 159   Question A circle with centre C has . a.   Find:                            i.       the coordinates of C;                          ii.       the radius of the circle b.   Explain why the circle lies entirely below the x-axis. c.   The point P with coordinates  lies outside the circle.                            i.       Show that .                          ii.       Hence show that                        iii.       Find the possible values of k. Solution a.   […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#5

Hits: 43   Question a.   Express  in the form  , where p and q are integers. b.                        i.       Sketch the graph of  , stating the coordinates of the minimum point  and the point where the graph crosses the y-axis.                   ii.       Write down an equation of the tangent to the graph of  at […]