Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#4

  Question Solve the simultaneous equations Solution We are given simultaneous equations; Rearranging the first equation we get expression for ; Substituting this for  in the second equation; We have the algebraic formula; Therefore; Now we have two options. By substituting one-by-one these values of  in above derived expression of , we can find  corresponding values of . For For Hence, there […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#3

  Question Given that the equation , where k is a positive constant, has equal roots, find the value of k. Solution We are given; We can given that given equation has equal roots. For a quadratic equation , the expression for solution is; Where  is called discriminant. If , the equation will have two distinct roots. If […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#2

  Question Given that , find a.   b.   c.   Find Solution a.   We are given; We are required to find . Rule for differentiation of  is: Rule for differentiation of  is: b.   We are required to find . Second derivative is the derivative of the derivative. If we have derivative of the curve   as  , then  […]