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11th Standard English Medium Maths Subject Binomial Theorem, Sequences and Series Book Back 1 Mark Questions with Solution Part - II

11th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    1 Marks

    10 x 1 = 10
  1. With usual notation C0 + C2 + C4 + ... is ______________

    (a)

    2n-1

    (b)

    2n

    (c)

    2n+1

    (d)

    2n+2

  2. In the expansion of (2x + 3)5 the coefficient of x2 is ______________

    (a)

    720

    (b)

    1080

    (c)

    810

    (d)

    5

  3. In the expansion of (1 +x )22 which term is the middle term ______________

    (a)

    T11 and T12

    (b)

    T11

    (c)

    T12

    (d)

    T13

  4. AM, GM, HM denote the Arithmetic mean, Geometric mean and Harmonic mean respectively the relationship between this is ______________

    (a)

    AM < GM < HM

    (b)

    AM ≤ GM ≤ HM

    (c)

    AM>GM>HM

    (d)

    AM≥GM≥HM

  5. In the series \(\frac{1}{1+\sqrt 2}+\frac{1}{\sqrt 2+\sqrt 3}+\frac{1}{\sqrt 3+\sqrt 4}+...\) some of first 24 number is ______________

    (a)

    4

    (b)

    \(\sqrt 24\)

    (c)

    \(\frac{1}{\sqrt 24}\)

    (d)

    \(\frac{1}{\sqrt 25-\sqrt 24}\)

  6. 1 - 2x + 3x2 - 4x3 + ..., Ixl< 1 is ______________

    (a)

    (1-x)-2

    (b)

    (1+x)-2

    (c)

    (1-x)2

    (d)

    (1+x)2

  7. \(\frac{1}{1!}+\frac{1}{3!}+\frac{1}{5!}+...\) is ______________

    (a)

    \(\frac{e^{-1}}{2}\)

    (b)

    \(\frac{e+e^{-1}}{2}\)

    (c)

    \(\frac{e-e^{-1}}{2}\)

    (d)

    none of these

  8. \(\sqrt \frac{1-2x}{1+2x}\) is approximately equal to ______________

    (a)

    1- 2x-x2

    (b)

    1 + 2x+ x2

    (c)

    1+ 2x

    (d)

    1-2x+x2

  9. Expansion of \(log(\sqrt \frac{1+x}{1-x})\) is ______________

    (a)

    \(x+\frac{x^3}{3}+\frac{x^5}{5}+...\)

    (b)

    \(1.\frac{x^2}{2}+\frac{x^4}{4}+...\)

    (c)

    \(1-x+\frac{x^2}{2}+\frac{x^3}{5}+...\)

    (d)

    \(x-\frac{x^2}{3}+\frac{x^3}{3}+...\)

  10. The value of \(1-\frac{1}{2}(\frac{3}{4})+\frac{1}{3}(\frac{3}{4})^2-\frac{1}{4}(\frac{3}{4})^3+...\)is ______________

    (a)

    \(\frac{3}{4}log(\frac{7}{4})\)

    (b)

    \(\frac{4}{3}log(\frac{7}{4})\)

    (c)

    \(\frac{1}{3}log(\frac{7}{4})\)

    (d)

    \(\frac{4}{3}log(\frac{4}{7})\)

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