The expansion of 1 (4 - 3x) ^ 1/2 binomial theorem will be valid,… - Vidyadip

MCQ

The expansion of $\frac{1}{{{{(4 - 3x)}^{1/2}}}}$ binomial theorem will be valid, if

A
$x < 1$
B
$|x|\, < 1$
C
$ - \frac{2}{{\sqrt 3 }} < x < \frac{2}{{\sqrt 3 }}$
✓
None of these

✓

Answer

Correct option: D.

None of these

d
(d) The given expression can be written as ${4^{ - 1/2}}{\left( {1 - \frac{3}{4}x} \right)^{ - 1/2}}$

and it is valid only when $\left| {\frac{3}{4}x} \right|\, < 1 \Rightarrow - \frac{4}{3} < x < \frac{4}{3}$.

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 "MCQ" from binomial theoram→binomial theoram — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The equation of the circle passing through the origin and cutting intercepts of length $3$ and $4$ units from the positive axes, is

The number of words that can be formed out of the letters of the word $ARTICLE$ so that the vowels occupy even places is

In the $xy$ plane, the segment with end points $(3, 8)$ and $(-5, 2)$ is the diameter of the circle. The point $(k, 10)$ lies on the circle for

Let $\mathrm{ABCD}$ and $\mathrm{AEFG}$ be squares of side $4$ and $2$ units, respectively. The point $\mathrm{E}$ is on the line segment $\mathrm{AB}$ and the point $\mathrm{F}$ is on the diagonal $\mathrm{AC}$. Then the radius $r$ of the circle passing through the point $\mathrm{F}$ and touching the line segments $\mathrm{BC}$ and $\mathrm{CD}$ satisfies :

If for some positive integer $n,$ the coefficients of three consecutive terms in the binomial expansion of $(1+x)^{n+5}$ are in the ratio $5: 10: 14,$ then the largest coefficient in this expansion is

If $\alpha ,\beta$ are the roots of ${x^2} - 3x + a = 0$ and $\gamma ,\delta $ be the roots of ${x^2} - 12x + b = 0$ and numbers $\alpha ,\beta ,\gamma ,\delta $ (in order) form an increasing $G.P$., then

The value of $\tan {20^o} + 2\tan {50^o} - \tan {70^o}$ is equal to

Consider $4$ boxes, where each box contains $3$ red balls and $2$ blue balls. Assume that all $20$ balls are distinct. In how many different ways can $10$ balls be chosen from these $4$ boxes so that from each box at least one red ball and one blue ball are chosen?

Let ${S_n}$ denotes the sum of $n$ terms of an $A.P.$ If ${S_{2n}} = 3{S_n}$, then ratio $\frac{{{S_{3n}}}}{{{S_n}}} = $

A multiple choice examination has $5$ questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get $4$ or more correct answers just by guessing is :