WB JEE 2008 | Binomial Theorem Question 3 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The coefficient of x^$$-$$10 in $${\left( {{x^2} - {1 \over {{x^3}}}} \right)^{10}}$$ is

$$-$$ 252

$$-$$ 210

$$-$$ (5!)

$$-$$ 120

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If C₀, C₁, C₂, ......, C_n denote the coefficients in the expansion of (1 + x)ⁿ then the value of C₁ + 2C₂ + 3C₃ + ..... + nC_n is

n . 2^{n $$-$$ 1}

(n + 1)2^{n $$-$$ 1}

(n + 1)2ⁿ

(n + 2)2^{n $$-$$ 1}

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If the coefficients of x² and x³ in the expansion of (3 + ax)⁹ be same, then the value of a is

3/7

7/3

7/9

9/7

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

using binomial theorem, the value of (0.999)³ correct to 3 decimal places is

0.999

0.998

0.997

0.995

WB JEE Subjects