Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#11

  Question The line  passes through the points P(–1,2) and Q(11, 8). a.   Find an equation for  in the form y= mx + c, where m and c are constants. The line  passes through the point R(10, 0) and is perpendicular to . The lines  and  intersect at the point S. b.   Calculate the coordinates of S. c.   Show […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#6

  Question a.   Expand and simplify  . b.   Express  in the form , where a and b are integers. Solution a.   We are given; b.   We are required to differentiate; If we need a rational number in the denominator of a fraction, we need to follow procedure of  “denominator rationalization” as given below. ü If the […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#5

  Question Differentiate with respect to x; a.   b.   Solution a.   We are required to differentiate; We are required to find . Rule for differentiation of  is: Rule for differentiation of  is: b.   We are required to differentiate; We are required to find . Rule for differentiation of  is: Rule for differentiation is of  is: Rule for […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#2

  Question Find the set of values of x for which Solution We are required to solve the inequality; We solve the following equation to find critical values of ; Now we have two options; Hence the critical points on the curve for the given condition are  & 9. Standard  orm of quadratic equation is; The graph of quadratic […]