Hits: 103

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | June | Q#5

Hits: 103   Question A circle with centre C has equation  . a.   Write down:                            i.       the coordinates of C;                           ii.       the radius of the circle. b.                                i.       Verify that the point N(0,-2) lies on the circle.                           ii.       Sketch the circle.                         iii.       Find an equation of the normal to the circle at the point N. c.   The point P has coordinates (2, […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | June | Q#3

Hits: 42   Question a.                           i.       Express  in the form  , where p and q are integers.                    ii.       Write down the coordinates of the vertex (minimum point) of the curve with equation                   […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | June | Q#1

Hits: 104   Question The point  and  have coordinates  and  respectively. a.                          i.    Show that the gradient of AB is .                   ii.    Hence find an equation of the line AB, giving your answer in the form  , where a, b and c are integers. b.                          i.    Find an equation of the line which […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | January | Q#6

Hits: 115   Question The curve with equation  is sketched below. The curve cuts the x-axis at the point A (-1, 0) and cuts the y-axis at the point B. a.                                i.       State the coordinates of the point B and hence find the area of the triangle AOB, where  O is the origin.          […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | January | Q#4

Hits: 58   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 C;                   ii.       the radius of the circle. c.   Show that the circle does not intersect the x-axis. d.  The line with equation  intersects the circle at the points P and Q. […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | January | Q#2

Hits: 45   Question The line AB has equation  and the point A has coordinates . a.    i.  Find the gradient of AB. ii. Hence find an equation of the straight line which is perpendicular to AB and which passes through A. b.  The line AB intersects the line with equation  at the point B. Find the coordinates of  B. c.  The […]