# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/23) | Q#4

Question The parametric equations of a curve are Find the equation of the tangent to the curve at the point for which t = 0. Give your answer in the  form ax + by + c = 0, where a, b and c are integers. Solution We are required to find the equation of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/23) | Q#6

Question The polynomial p(x) is defined by where a is a constant.     i.       Given that (x + 2) is a factor of p(x), find the value of a. ii.       When a has this value, find the quotient when p(x) is divided by (x + 2) and hence show that the  equation […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2014 | May-Jun | (P2-9709/23) | Q#5

Question The variables x and y satisfy the equation y = k(2px), where k and p are constants. The graph of     ln y  against x is a straight line passing through the points (1.35,1.87) and (3.35, 3.81), as shown in  the diagram. Find the values of k and p, correct to 2 decimal […]