The middle term in the expansion of (1+1 x^ 2 ) (1+x^ 2 )^ n is: - Vidyadip

MCQ

The middle term in the expansion of$\Big(1+\frac{1}{\text{x}^{2}}\Big)\big(1+\text{x}^{2}\big)^{\text{n}}$ is:

A
$ { }^{2 n} \mathrm{Cn}{~x}^{2 n} $
B
$ { }^{2 n} \mathrm{Cn} {~x}^{-2 n} $
✓
$ { }^{2 n} \mathrm{Cn} $
D
$ { }^{2 n} C_{n-1} $

✓

Answer

Correct option: C.

$ { }^{2 n} \mathrm{Cn} $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Binomial Theorem→Binomial Theorem — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Three vertices of a triangle are $A(4, 3) ; B(1, - 1)$ and $C(7, k)$ . Value$(s)$ of $k$ for which centroid, orthocentre, incentre and circumcentre of the $\Delta\, ABC$ lie on the same straight line is/are :

The coordinates of the foot of the perpendiculars from the vertices of a triangle on the opposite sides are $(20,25), (8,16)$ and $(8,9)$. The orthocentre of the triangle lies at the point-

If $A = \{1, 2, 4\}, B = \{2, 4, 5\}, C = \{2, 5\},$ then $\ce{(A - B) \times (B - C)}$ is:

The sum of $10$ terms of the series $\sqrt{2}+\sqrt{6}+\sqrt{18}+\ ...\text{ is}$

If $a, b, c, d$ are four distinct numbers chosen from the set $\{1,2,3, \ldots, 9\}$, then the minimum value of $\frac{a}{b}+\frac{c}{d}$ is

If $\tan\Big(\frac\pi4+\text{x}\Big)+\tan\Big(\frac\pi4-\text{x}\Big)=\text{a},$ then $\tan^2\Big(\frac\pi4+\text{x}\Big)+\tan^2\Big(\frac\pi4-\text{x}\Big)=$

If $A=\left\{(x, y): x^2+y^2=25\right\}$ and $B=\left\{(x, y): x^2+9 y^2=144\right\}$ then $A \cap B$ contains

If the tangents drawn at the points $P$ and $Q$ on the parabola $y^{2}=2 x-3$ intersect at the point $R(0,1)$, then the orthocentre of the triangle $PQR$ is.

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is:

Let $b_1, b_2,......, b_n$ be a geometric sequence such that $b_1 + b_2 = 1$ and $\sum\limits_{k = 1}^\infty {{b_k} = 2} $ Given that $b_2 < 0$ , then the value of $b_1$ is