NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter 8: BINOMIAL THEOREM

Fill in the Blanks

The largest coefficient in the expansion of \((1 + x)^{30}\) is ________.

The number of terms in the expansion of \((x + y + z)^n\) is ________.

In the expansion of \(\left(x^2 - \dfrac{1}{x^2}\right)^{16}\), the value of constant term is ________.

If the seventh terms from the beginning and the end in the expansion of \(\left(\sqrt[3]{2} + \dfrac{1}{\sqrt[3]{3}}\right)^n\) are equal, then \(n\) equals ________.

The coefficient of \(a^{-6} b^{4}\) in the expansion of \(\left(\dfrac{1}{a} - \dfrac{2b}{3}\right)^{10}\) is ________.

Middle term in the expansion of \((a^3 + ba)^{28}\) is ________.

The ratio of the coefficients of \(x^p\) and \(x^q\) in the expansion of \((1 + x)^{p+q}\) is ________.

The position of the term independent of \(x\) in the expansion of \(\left(\dfrac{x}{3} + \dfrac{3}{2x^2}\right)^{10}\) is ________.

If \(25^{15}\) is divided by 13, the remainder is ________.