Hits: 36

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Oct-Nov | (P1-9709/13) | Q#1

Hits: 36 Question (i)          Expand  in ascending powers of y as far as the term in y2. (ii)       In the expansion of  the coefficient of x2 is 48. Find the value of the positive  constant . Solution i.   We are required to expand . Expression for the Binomial expansion of  is: In […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Oct-Nov | (P1-9709/12) | Q#1

Hits: 40 Question The coefficient of  in the expansion of  is 3. Find the value of the constant a. Solution i.   First, we expand . Expression for the Binomial expansion of  is: In the given case: Hence;       Now can we find the coefficient of in the expansion of . We write […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Oct-Nov | (P1-9709/11) | Q#1

Hits: 38 Question Find the term independent of in the expansion of . Solution Expression for the general term in the Binomial expansion of is: In the given case: Hence; Since we are looking for the coefficient of the term independent of i.e. , so we can equate; Hence, substituting ; Becomes; Hence coefficient of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/11) | Q#1

Hits: 654 Question The term independent of x in the expansion of , where k is a constant, is 540. (i)               Find the value of k. (ii)             For this value of k, find the coefficient of x2 in the expansion. Solution (i)   Expression for the general term in the Binomial expansion of  is: In […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Feb-Mar | (P1-9709/12) | Q#1

Hits: 282 Question The coefficient of  in the expansion of  is -2160. Find the value of the constant . Solution We are given expression as; Expression for the general term in the Binomial expansion of  is: First rewrite the given expression in standard form. In the given case: Hence; Since we are looking for the […]