# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2002 | Oct-Nov | (P2-9709/02) | Q#7

Question The equation of a curve is      i.       Show that    ii.       Find the coordinates of the points on the curve where the tangent is parallel to the x-axis. Solution      i.   We are given; We are required to find . To find  from an implicit equation, differentiate each term with respect to , using the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2002 | Oct-Nov | (P1-9709/01) | Q#10

Question The diagram shows the points  and  on the curve . The line BC is the normal to the curve at B, and C lies on the x-axis. Lines AD and BE are perpendicular to the x-axis. i.       Find the equation of the normal BC.    ii.       Find the area of the shaded region. Solution i.   To find the equation […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2002 | Oct-Nov | (P1-9709/01) | Q#9

Question The diagram shows a rectangle ABCD, where A is (3, 2) and B is (1, 6). i.       Find the equation of BC. Given that the equation of AC is , find    ii.       the coordinates of C,   iii.       the perimeter of the rectangle ABCD.  Solution i.   To find the equation of the line either we need coordinates of thetwo points […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2002 | Oct-Nov | (P1-9709/01) | Q#4

Question The gradient at any point  on a curve is . The curve passes through the point . Find i.           the equation of the curve,  ii.       the point at which the curve intersects the y-axis. Solution i.   To find the equation of the curve: We can find equation of the curve from its derivative […]