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11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Seven

11th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. If A = {(x,y) : y = ex, x∈R} and B = {(x,y) : y=e-x, x ∈ R} then n(A∩B) is

    (a)

    Infinity

    (b)

    0

    (c)

    1

    (d)

    2

  2. If the roots of x2-bx+c =0 are two consecutive integer,then b2-4c is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    none of these

  3. Logarithm of 144 to the base 2\(\sqrt{3}\) is

    (a)

    2

    (b)

    3

    (c)

    4

    (d)

    5

  4. The value of \(\sqrt [ 4 ]{ { (-2) }^{ 4 } } =\) _______.

    (a)

    2

    (b)

    -2

    (c)

    4

    (d)

    -4

  5. cos6x-cos8x=

    (a)

    2 sin 7x sinx

    (b)

    sin 7x sinx

    (c)

    \(\frac { 1 }{ 2 } \)sin7x+sinx

    (d)

    \(\sqrt { 2 } \) sin7x sinx

  6. If sinθ=sin\(\alpha\), then the angles θ and \(\alpha\) are related by

    (a)

    \(\theta=n\pi\pm\alpha\)

    (b)

    \(\theta=2n\pi+(-1)^n\alpha\)

    (c)

    \(\alpha=n\pi\pm(-1)^n\theta\)

    (d)

    \(\theta=(2n+1)\pi+\alpha\)

  7. The value of x, for which the matrix A=\(\begin{bmatrix} e^{x-2}& e^{7+x} \\ e^{2+x} & e^{2x+3} \end{bmatrix}\) is singular is

    (a)

    9

    (b)

    8

    (c)

    7

    (d)

    6

  8. \(\int{x^2+cos^2x\over x^2+1}cosec^2xdx\) is

    (a)

    cot x+sin -1x+c

    (b)

    -cot x+tan-1x+c

    (c)

    -tan x+cot-1x+c

    (d)

    -cot x-tan-1x+c

  9. \(\int x^2e^{x\over2}dx\) is

    (a)

    \( x^2e^{x\over2}-4xe^{x\over2}-8e^{x\over2}+c\)

    (b)

    \( 2x^2e^{x\over2}-8xe^{x\over2}-16e^{x\over2}+c\)

    (c)

    \( 2x^2e^{x\over2}-8xe^{x\over2}+16e^{x\over2}+c\)

    (d)

    \( x^2{e^{x\over2}\over 2}-{xe^{x\over2}\over 4}+{e^{x\over2}\over 8}+c\)

  10. If a and b are chosen randomly from the set {1,2,3,4} with replacement, then the probability of the real roots of the equation \(x^2+ax+b=0\) is

    (a)

    \({3\over 16}\)

    (b)

    \({5\over 16}\)

    (c)

    \({7\over 16}\)

    (d)

    \({11\over 16}\)

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