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Binomial Theorem question

2020 · 8 Jan · Shift 2 · Q31
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  2. /JEE Main
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  4. /Binomial Theorem
  5. /2020 · 8 Jan · Shift 2 · Q31

Binomial Theorem question

2020 · 8 Jan · Shift 2 · Q31

JEE MainMathematicsBinomial TheoremMCQ+4 / −1
If 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, then
  1. A
    α+β=60\alpha + \beta = 60α+β=60
  2. B
    α−β=60\alpha - \beta = 60α−β=60
  3. C
    α+β=−30\alpha + \beta = -30α+β=−30
  4. D
    α−β=−132\alpha - \beta = -132α−β=−132
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