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Binomial Theorem question

2006 · Shift 0 · Q73
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  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Binomial Theorem
  5. /2006 · Shift 0 · Q73

Binomial Theorem question

2006 · Shift 0 · Q73

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
If the expansion in powers of xxx of the function 1(1−ax)(1−bx){1 \over {\left( {1 - ax} \right)\left( {1 - bx} \right)}}(1−ax)(1−bx)1​ is a0+a1x+a2x2+a3x3.....{a_0} + {a_1}x + {a_2}{x^2} + {a_3}{x^3}.....a0​+a1​x+a2​x2+a3​x3..... then an{a_n}an​ is
  1. A
    bn−anb−a{{{b^n} - {a^n}} \over {b - a}}b−abn−an​
  2. B
    an−bnb−a{{{a^n} - {b^n}} \over {b - a}}b−aan−bn​
  3. C
    an+1−bn+1b−a{{{a^{n + 1}} - {b^{n + 1}}} \over {b - a}}b−aan+1−bn+1​
  4. D
    bn+1−an+1b−a{{{b^{n + 1}} - {a^{n + 1}}} \over {b - a}}b−abn+1−an+1​
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