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If the coefficients of x^39 and x^40 are...

If the coefficients of `x^39` and `x^40` are equal in the expansion of `(p+qx)^49`. then the possible values of p and q are

A

4,16

B

1,4

C

5,20

D

3,9

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
We have,
`.^(49)C_(39)p^(10)q^(39) = .^(49)C_(40) p^(9)q^(40)`
`rArr p = (.^(49)C_(40))/(.^(49)C_(39))q`
`rArr p = (49-40+1)/(40) q`
`rArr p = 1/4 q`
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