Download App

Binomial Theorem — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSBinomial Theorem1 Mark
Question
Which is larger (1.01)1000000 or 10,000?
✓

Answer

Splitting 1.01 and using binomial theorem to write the first few terms we have
(1.1)10000 = (1 + 0.1)10000. Using binomial theorem
= 1000000C0 + 1000000C1(0.01) + other positive terms
= 1 + 10000 (0.01) + other positive terms
= 1 + 1000 + other positive terms
> 10000.
Therefore,(1.01)1000000 > 10000

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 "1 Marks Question" from Binomial Theorem→Binomial Theorem — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Translate the following statement into symbolic form:
2, 3 and 6 are factors of 12.
→
Compute: $\frac{7 !}{5 !}$
→
Express the complex number$\left[ {\left( {\frac{1}{3} + \frac{7}{3}i} \right) + \left( {4 + \frac{1}{3}i} \right)} \right] - \left[ {\frac{{ - 4}}{3} + i} \right]$ in the form of a + ib.
→
Write the negation of the following statements:
For every $\text{x}\in\text{N},\text{x}+3<10$
→
Find the limit: $\lim \limits_{x \rightarrow 1}\left[\frac{x-2}{x^{2}-x}-\frac{1}{x^{3}-3 x^{2}+2 x}\right]$
→
Find the derivative of f(x) = 1 + x + x2 + x3 + ... + x50 at x = 1.
→
If Sn denotes the sum of first n terms of an A.P. < an > such that $\frac{\text{S}_\text{m}}{\text{S}_\text{n}}=\frac{\text{m}^2}{\text{n}^2},$ then $\frac{\text{a}_\text{m}}{\text{a}_\text{n}}=$
  1. $\frac{2\text{m}+1}{2\text{n}+1}$
  2. $\frac{1\text{m}-1}{2\text{n}-1}$
  3. $\frac{\text{m}-1}{\text{n}-1}$
  4. $\frac{\text{m}+1}{\text{n}-1}$
→
Write the value of $1+i^2+i^4+\ldots\ldots +i^{2 n}.$
→
Find the equation of line perpendicular to line $3 x-5 y$ $+7=0$ and passing through point $(1,5)$.
→
If $\text{x}=\sin^{14}\text{x}+\cos^{20}\text{x},$ then write the smallest interval in which the value of x lie.
→