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Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2012 | May-Jun | (P1-9709/11) | Q#2

Hits: 95   Question Find the coefficient of  in the expansion of  .   Solution First rewrite the given expression in standard form. Expression for the Binomial expansion of  is: In the given case: Hence;     Hence the coefficient of   is . Please follow and like us: 0

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2012 | Oct-Nov | (P1-9709/13) | Q#1

Hits: 47 Question Find the coefficient of  in the expansion of . Solution First rewrite the given expression in standard form. Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for the term of   : we can  equate  Subsequently substituting  in: Since we are interested in the coefficient of ; […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2012 | Oct-Nov | (P1-9709/12) | Q#1

Hits: 62 Question In the expansion of , the coefficient of  is -280. Find the value of the constant . Solution First rewrite the given expression in standard form. Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for the term of   : we can  equate Subsequently substituting  in: […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2012 | Oct-Nov | (P1-9709/11) | Q#4

Hits: 43 Question      i.       Find the first 3 terms in the expansion of , in ascending powers of .    ii.       Hence find the coefficient of  in the expansion of . Solution i.   First rewrite the given expression in standard form. Expression for the Binomial expansion of  is: In the given case: Hence; ii.   First we know from (i) […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2012 | May-Jun | (P1-9709/13) | Q#3

Hits: 74 Question The first three terms in th expansion of  , in the ascending powers of  , are  . Find the values of the constants   and . Solution Expression for the Binomial expansion of  is: In the given case: Hence; Now We know that first three terms in th expansion of  are ; Comparing the given and derived […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2012 | May-Jun | (P1-9709/12) | Q#3

Hits: 61 Question The coefficient of  in the expansion of  is 90. , Find the value of positive constant . Solution Expression for the Binomial expansion of  is: We need to expand both terms one-by-one. First we expand In the given case: Hence; Similarly we also need to expand First rewrite the given expression in standard form. In the given case: […]