1

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

Let $$S(K)$$ $$ = 1 + 3 + 5... + \left( {2K - 1} \right) = 3 + {K^2}.$$ Then which of the following is true

2

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

The coefficient of the middle term in the binomial expansion in powers of $$x$$ of $${\left( {1 + \alpha x} \right)^4}$$ and $${\left( {1 - \alpha x} \right)^6}$$ is the same if $$\alpha $$ equals

3

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

The coefficient of $${x^n}$$ in expansion of $$\left( {1 + x} \right){\left( {1 - x} \right)^n}$$ is

4

AIEEE 2004

MCQ (Single Correct Answer)

+4

-1

If $${S_n} = \sum\limits_{r = 0}^n {{1 \over {{}^n{C_r}}}} \,\,and\,\,{t_n} = \sum\limits_{r = 0}^n {{r \over {{}^n{C_r}}},\,} $$then $${{{t_{ n}}} \over {{S_n}}}$$ is equal to

Questions Asked from Mathematical Induction and Binomial Theorem (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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