# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2020 | Feb-Mar | (P1-9709/12) | Q#12

Question A diameter of a circle C1 has end-points at (−3, −5) and (7, 3). a)   Find an equation of the circle C1. The circle C1 is translated by  to give circle C2, as shown in the diagram. b)  Find an equation of the circle C2.  The two circles intersect at points R and S. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2020 | Feb-Mar | (P1-9709/12) | Q#9

Question a)Express in the form , where  and  are constants. The function f is defined by  for . b)Find an expression for and state the domain of . The function is defined by  for . c)For the case where k = −1, solve the equation . d)State the largest value of possible for the composition […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2020 | Feb-Mar | (P1-9709/12) | Q#2

Question The graph of  is transformed to the graph of . Describe fully the two single transformations which have been combined to give the  resulting transformation. Solution We are given function; The following function represents the vertical translation (along y-axis) of graph by units upwards; Therefore, for the given case, following will represent vertical translation […]