Hits: 158

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#10

Hits: 158   Question Given that ,, a)   Express  in the form , where a and b are integers. The curve C with equation y = f(x), , meets the y-axis at P and has a minimum point at Q.  b)  In the space provided on page 19, sketch the graph of C, showing the coordinates of P and […]

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

Hits: 22   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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#6

Hits: 23   Question Find the set of values of x for which a)   b)  c)   Both  and . Solution a)     We are required to solve the inequality; We can rearrange the inequality as; b)   We are required to solve the inequality; We solve the following equation to find critical values of ; Now we have two options; […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#5

Hits: 16   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; For a quadratic equation , the expression for solution is; For the above equation; Now we have two options. By substituting one-by-one these values of […]

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

Hits: 38   Question where a and b are constants. a.   Find the value of a and the value of b. b.   Hence, or otherwise, show that the roots of are  , where c and d are integers to be found. Solution a.   We are given; We can write L.H.S of the equation by completing square. […]