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If alpha and beta be the coefficients ...

If `alpha` and `beta` be the coefficients of `x^6` and `x^2` respectively in the expansion of `(x+sqrt(x^2 -1))^6+(x-sqrt(x^2 -1))^6`, then

A

`alpha+beta = 100`

B

`alpha+beta=-64`

C

`alpha-beta = -100`

D

`alpha-beta = 60`

Text Solution

Verified by Experts

The correct Answer is:
A
`[""^6C_0 x^6 +^6C_2 x^4 (x^2-1)+^6 C_4 x^2 (x^2-1)^2 + ^6 C_6 (x^2 -1)^3]`
`alpha = 64 & beta = 36" ":." "alpha + beta = 100`
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