InterviewSolution
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InterviewSolution
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Thesum of coefficients of integral powers of x in the binomial expansion of `(1-2sqrt(x))^(50)`is:(1) `1/2(3^(50)+1)`(2) `1/2(3^(50))`(3) `1/2(3^(50)-1)`(4) `1/2(2^(50)+1)`A. `1/2(3^(50) + 1)`B. `1/2(3^(50))`C. `1/2(3^(50) - 1)`D. `1/2(2^(10) + 1)` |
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Answer» Correct Answer - A `(1-2sqrt(x))^(50) = C_(0)-C_(1)2sqrt(x)+C_(2)(2sqrt(x))^(2)-"...."+C_(50)+(2sqrt(x))^(50)` `(1+2sqrt(x))^(50) = C_(0) + C_(1)(2sqrt(x))+C_(2)(2sqrt(x))^(2) + "......" + C_(50)(2sqrt(x))^(50)` Putting `x = 1`, we get `:. (3^(50)+1)/(2)= C_(0) + C_(2)(2)^(2) + "...."` |
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