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

Question

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

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

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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

5 views Answered 2023-02-05 15:29