JEE MATHEMATICS MCQ: BINOMIAL THEOREM

1 Easy

1 of 1

Analyzing +4 | -1

If the coefficients of

{x^2}

and

{x^3}

are both zero, in the expansion of the expression

\left( {1 + ax + b{x^2}} \right){(1 - 3x)^{15}}

in powers of

x,

then the ordered pair

(a,b)

is equal to

View answer and explanation

Correct option: A

\left( {28,315} \right)

Option A (

\left( {28,315} \right)

) is correct because by setting the coefficients of

x^2

and

x^3

to zero, we can solve the resulting system of equations to find

a = 28

and

b = 315

More Questions from BINOMIAL THEOREM

Practice All Chapter MCQs →

\left({ }^{10} C_0\right)^2-\left({ }^{10} C_1\right)^2+\ldots-\left({ }^{10} C_9\right)^2+\left({ }^{10} C_{10}\right)^2

a

d

\left( {n + 1} \right)

a{C_0} - \left( {a + d} \right){C_1} + \left( {a + 2d} \right){C_2} - ... + ...

(1-x)^{201}\left(1+x+x^2\right)^{200}

\left(\frac{1}{x}+2 x\right)^n

{x^5}

\frac{{1 + {x^2}}}{{1 + x}},\left| x \right| < 1,

\left(\begin{array}{c}2 n+1 \\ 0\end{array}\right)+\left(\begin{array}{c}2 n+1 \\ 3\end{array}\right)+\left(\begin{array}{c}2 n+1 \\ 6\end{array}\right)+\ldots=170

n