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Determine the term independent of a in t...

Determine the term independent of a in the expansion of `(frac{a+1}{a^frac{2}{3}-a^frac{1}{3}+1)-frac{a-1}{a-a^frac{1}{2}))^10`

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Knowledge Check

  • The value of 1frac{1}{8}div(4frac{1}{4}div3/5of8frac{1}{2})-2/5xx1frac{1}{3}div4/5of1frac{2}{3}+11/20 is:

    A
    `1frac{1}{2}`
    B
    `3frac{1}{8}`
    C
    `1frac{1}{4}`
    D
    `3frac{1}{2}`

  • If the shortest distance between the lines frac{x - lambda} {-2} = frac{y - 2} {1} = frac{z - 1} {1} and frac{x - sqrt 3}{1} = frac{y-1}{-2} = frac{z-2}{1} is 1, then the sum of all possible values of lambda is :

    A
    0
    B
    `2 sqrt 3`
    C
    `3 sqrt 3`
    D
    `-2 sqrt 3`

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