JEE Main 20208 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002If α\alphaα and β\betaβ be the coefficients of x⁴ and x² respectively in the expansion of (x+x2−1)6+(x−x2−1)6{\left( {x + \sqrt {{x^2} - 1} } \right)^6} + {\left( {x - \sqrt {{x^2} - 1} } \right)^6}(x+x2−1)6+(x−x2−1)6, thenAOption A. α+β=60\alpha + \beta = 60α+β=60BOption B. α−β=60\alpha - \beta = 60α−β=60COption C. α+β=−30\alpha + \beta = -30α+β=−30DOption D. α−β=−132\alpha - \beta = -132α−β=−132CheckSkip · show solution
