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

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 cos280+sin280=k3, then cos 170 is equal to

    (a)

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

    (b)

    -\(\frac { { k }^{ 3 } }{ \sqrt { 2 } } \)

    (c)

    ±\(\frac { { k }^{ 3 } }{ \sqrt { 2 } } \)

    (d)

    -\(\frac { { k }^{ 3 } }{ \sqrt { 3 } } \)

  2. If tan400=λ, then \(\frac { tan{ 140 }^{ 0 }-tan{ 130 }^{ 0 } }{ 1+tan{ 140 }^{ 0 }.tan{ 130 }^{ 0 } } \)=

    (a)

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

    (b)

    \(\frac { 1+{ \lambda }^{ 2 } }{ \lambda } \)

    (c)

    \(\frac { 1+{ \lambda }^{ 2 } }{ 2\lambda } \)

    (d)

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

  3. Let fk(x)=\(\frac { 1 }{ k } \)[sinkx+coskx] where x\(\in \)R and k≥1. Then f4(x)-f6(x)=

    (a)

    \(\frac { 1 }{ 4 } \)

    (b)

    \(\frac { 1 }{ 12 } \)

    (c)

    \(\frac { 1 }{ 6 } \)

    (d)

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

  4. In a triangle ABC, sin2A+sin2B+sin2C=2, then the triangle is

    (a)

    equilateral triangle

    (b)

    isosceles triangle

    (c)

    right triangle

    (d)

    scalene triangle

  5. A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

    (a)

    10\(\pi \) seconds

    (b)

    20\(\pi \) seconds

    (c)

    5\(\pi \) seconds

    (d)

    15\(\pi \) seconds

  6. In a ΔABC, if (i) \(sin\frac { A }{ 2 } sin\frac { B }{ 2 } sin\frac { C }{ 2 } \) > 0 (ii) sinA sinB sinC > 0, Then

    (a)

    Both (i) and (ii) are true

    (b)

    Only (i) is true

    (c)

    Only (ii) is true

    (d)

    Neither (i) nor (ii) is true

  7. Which of the following is incorrect?

    (a)

    sinx=\(\frac { -1 }{ 5 } \)

    (b)

    cosx=1

    (c)

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

    (d)

    tanx=20

  8. If tanA=\(\frac { a }{ a+1 } \) and B=\(\frac { 1 }{ 2a+1 } \) then the value of A+B is

    (a)

    0

    (b)

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

    (c)

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

    (d)

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

  9. 2 sin 5x cos x

    (a)

    sin 6x+cos 4x

    (b)

    sin6x+sin4x

    (c)

    cos6x+sin4x

    (d)

    cos6x+cos4x

  10. \(\frac { cos3x }{ 2cos2x-1 } \) is

    (a)

    cos x

    (b)

    sin x

    (c)

    tan x

    (d)

    cot x

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