Hits: 470

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2008 | Oct-Nov | (P1-9709/01) | Q#8

Hits: 470 Question The equation of a curve is . i.       Show that the equation of the normal to the curve at the point  is This normal meets the curve again at the point Q.    ii.       Find the coordinates of Q.   iii.       Find the length of PQ. Solution i.   We are required to find the equation of the normal to the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2008 | May-Jun | (P1-9709/01) | Q#11

Hits: 1070 Question In the diagram, the points A and C lie on the x- and y-axes respectively and the equation of AC is . The point B has coordinates (2, 2). The perpendicular from B to AC meets AC at the point X. i.       Find the coordinates of  X. The point D is such that the quadrilateral ABCD has AC […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2008 | May-Jun | (P1-9709/01) | Q#4

Hits: 447 Question The equation of a curve C is  and the equation of a line L is . i. Find the x-coordinates of the points of intersection of L and C.    ii. Show that one of these points is also the stationary point of C. Solution i.   If two lines (or a line and […]