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11th Standard Maths Trigonometry English Medium Free Online Test One Mark Questions 2020 - 2021

11th Standard

    Reg.No. :
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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. \(\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } } \)=

    (a)

    \(\sqrt{2}\)

    (b)

    \(\sqrt{3}\)

    (c)

    2

    (d)

    4

  2. The maximum value of 4sin2x+3cos2x+\(sin\frac { x }{ 2 } +cos\frac { x }{ 2 } \) is

    (a)

    \(\frac { 1 }{ 8 } \)

    (b)

    \(\frac { 1 }{ 2 } \)

    (c)

    \(\frac { 1 }{ \sqrt { 3 } } \)

    (d)

    \(\frac { 1 }{ \sqrt { 2 } } \)

  3. cos10+cos20+cos30+: : :+cos1790=

    (a)

    0

    (b)

    1

    (c)

    -1

    (d)

    89

  4. If tan α and tan β are the roots of tan2x + atanx + b = 0; then \(\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta } \) is equal to

    (a)

    \(\frac { b }{ a } \)

    (b)

    \(\frac { a }{ b } \)

    (c)

    \(\frac { a }{ b } \)

    (d)

    \(\frac { b}{ a } \)

  5. If sinα + cosα = b, then sin2α is equal to

    (a)

    b2-1, if b≤\(\sqrt { 2 } \)

    (b)

    b2-1, if b>\(\sqrt { 2 } \)

    (c)

    b2-1, if b ≥ 1

    (d)

    b2-1, if b≥\(\sqrt { 2 } \)

  6. If the angles of a triangle are in A.P., then the measure of one of the angles in radians is

    (a)

    \(\frac { \pi }{ 6 } \)

    (b)

    \(\frac { \pi }{ 3 } \)

    (c)

    \(\frac { \pi }{ 2 } \)

    (d)

    \(\frac { 2\pi }{ 3 } \)

  7. The value of sin2\(\frac { 5\pi }{ 12 } -sin^{ 2 }\frac { \pi }{ 12 } \) is

    (a)

    \(\frac { 1 }{ 2 } \)

    (b)

    \(\frac { \sqrt { 3 } }{ 2 } \)

    (c)

    1

    (d)

    0

  8. In any ΔABC, a(b cosC-c Cos B)=

    (a)

    a2

    (b)

    b2-c2

    (c)

    0

    (d)

    b2+c2

  9. If tanθ=\(\frac{-4}{3}\), then sinθ is

    (a)

    \(\frac{-4}{5}\)

    (b)

    \(\frac{4}{5}\)

    (c)

    \(\frac{-4}{5}\quad or\quad \frac{4}{5}\)

    (d)

    None

  10. The numerical value of tan-11+tan-12+tan-13=

    (a)

    \(\pi\)

    (b)

    \(\frac{\pi}{2}\)

    (c)

    0

    (d)

    \(\frac{\pi}{4}\)

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