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The positive value of a so that the co-efficient of x 5 is equal to that of x 15 in the expansion of is 1. 2. 3. 1 4. 2



























The positive value of a so that the co-efficient of x5 is equal to that of x15 in the expansion of is
1
2








Grade:12th Pass

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Vishwesh

general term in the series = 10Cr(x2)10-r(a/x3)r

                                                        = 10Crx20-5r(a)r

for x15   20-5r =15

              r=1

  so coefficient of this term = 10C1a

for x5    20-5r =5

             r=3

so coefficient of this term = 10C3a3

 

now equate

   10C1= 10C3a3

    a = 1/23

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