Download App

Binomial Theorem — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSBinomial Theorem1 Mark
MCQ
Using binomial theorem, the value of (0.999)3 correct to 3 decimal places is:
    • A
      0.999
    • B
      0.998
    • C
      0.997
    • D
      0.995
    ✓

    Answer

    1. 0.997

    Solution:

    (0.999)3 = (1 - 0.001)3

    = 3​C0​ - 3​C1 ​(0.001) + 3​C2 ​(0.001)2 - 3​C3​ (0.001)3

    = 1 - 0.003 + 3 (0.000001) - (0.000000001)

    = 0.997

    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→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

    Similar questions

    If the roots of x2 − bx + c = 0 are two consecutive integers, then b2 − 4 c is:
    1. 0
    2. 1
    3. 2
    4. None of these.
    →
    A quadratic equation ax2 + bx + c = 0 has two distinct real roots, if 
    →
    Find the sum of squares of first n terms.
    →
    For what value of $\theta,$ 1 lies between the roots of the quadratic equation $3\text{x}^2 – 3\sin\theta \text{x} – 2\cos^2\theta = 0$
    →

    If slope of a line is 4 and y-intercept made by the line is 2 then the equation of line will be:

    →

    If |x - 1| > 5, then:

    1. $\text{x}\in(-4, 6)$

    2. $\text{x}\in[-4,6]$

    3. $\text{x}\in[-\infty,-4)\cup(6,\infty) $

    4. $\text{x}\in[-\infty,-4)\cup[6,\infty) $

    →
    If $\sin(\pi\cos\text{x})=\cos(\pi\sin\text{x}),$ then $\sin2\text{x}=$
    →
    If the decreasing GP is considered, then the sum of infinite terms is:
    →
    Point at lines $3 y+x-10=0$ and $2 x-5 y+13=0$ is:
    →
    In a crossword puzzle, 20 words are to be guessed of which 88 words have each an alternative solution also.The number of possible solutions will be:
    →