WB JEE 2010 | Mathematical Induction and Binomial Theorem Question 12 | Mathematics

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WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If in the expansion (a $$-$$ 2b)ⁿ, the sum of the 5^th and 6^th term is zero, then the value of $${a \over b}$$ is

$${{n - 4} \over 5}$$

$${{2(n - 4)} \over 5}$$

$${5 \over {n - 4}}$$

$${5 \over {2(n - 4)}}$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

Sum of the last 30 coefficients in the expansion of (1 + x)⁵⁹, when expanded in ascending powers of x is

2⁵⁹

2⁵⁸

2³⁰

2²⁹

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If $${(1 - x + {x^2})^n} = {a_0} + {a_1}x + {a_2}{x^2} + \,\,....\,\,{a_{2n}}{x^{2n}}$$, then the value of $${a_0} + {a_2} + {a_4} + \,\,....\,\,{a_{2n}}$$ is

$${3^n} + {1 \over 2}$$

$${3^n} - {1 \over 2}$$

$${{{3^n} - 1} \over 2}$$

$${{{3^n} + 1} \over 2}$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The coefficient of xⁿ om the expansion of $${{{e^{7x}} + {e^x}} \over {{e^{3x}}}}$$ is

$${{{4^{n - 1}} - {{( - 2)}^{n - 1}}} \over {\left| \!{\underline {\, n \,}} \right. }}$$

$${{{4^{n - 1}} - {2^{n - 1}}} \over {\left| \!{\underline {\, n \,}} \right. }}$$

$${{{4^n} - {2^n}} \over {\left| \!{\underline {\, n \,}} \right. }}$$

$${{{4^n} + {{( - 2)}^n}} \over {\left| \!{\underline {\, n \,}} \right. }}$$

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