New ! Maths MCQ Practise Tests

12th Standard Maths Inverse Trigonometric Functions English Medium Free Online Test One Mark Questions 2020 - 2021

12th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

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

    Answer all the questions

    10 x 1 = 10
  1. The value of sin-1 (cos x),0\(\le x\le\pi\) is

    (a)

    \(\pi-x\)

    (b)

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

    (c)

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

    (d)

    \(\pi-x\)

  2. If cot−1x=\(\frac{2\pi}{5}\) for some x\(\in\)R, the value of tan-1 x is

    (a)

    \(\frac{-\pi}{10}\)

    (b)

    \(\frac{\pi}{5}\)

    (c)

    \(\frac{\pi}{10}\)

    (d)

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

  3. If x=\(\frac{1}{5}\), the valur of cos (cos-1x+2sin-1x) is

    (a)

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

    (b)

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

    (c)

    \(\frac{1}{5}\)

    (d)

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

  4. \({ sin }^{ -1 }\left( tan\frac { \pi }{ 4 } \right) -{ sin }^{ -1 }\left( \sqrt { \frac { 3 }{ x } } \right) =\frac { \pi }{ 6 } \).Then x is a root of the equation

    (a)

    x2−x−6=0

    (b)

    x2−x−12=0

    (c)

    x2+x−12=0

    (d)

    x2+x−6=0

  5. If sin-1 \(\frac{x}{5}+ cosec^{-1}\frac{5}{4}=\frac{\pi}{2}\), then the value of x is

    (a)

    4

    (b)

    5

    (c)

    2

    (d)

    3

  6. If \({ tan }^{ -1 }\left\{ \cfrac { \sqrt { 1+{ x }^{ 2 } } -\sqrt { 1-{ x }^{ 2 } } }{ \sqrt { 1+{ x }^{ 2 } } +\sqrt { 1-{ x }^{ 2 } } } \right\} =\alpha \) then x2 =

    (a)

    \(sin2\alpha \)

    (b)

    \(sin\alpha \)

    (c)

    \(cos2\alpha \)

    (d)

    \(cos\alpha \)

  7. The number of solutions of the equation \({ tan }^{ -1 }2x+{ tan }^{ -1 }3x=\cfrac { \pi }{ 4 } \) 

    (a)

    2

    (b)

    3

    (c)

    1

    (d)

    none

  8. \({ tan }^{ -1 }\left( \cfrac { 1 }{ 4 } \right) +{ tan }^{ -1 }\left( \cfrac { 2 }{ 11 } \right) \) =

    (a)

    0

    (b)

    \(\cfrac { 1 }{ 2 } \)

    (c)

    -1

    (d)

    none

  9. If \({ cos }^{ -1 }x>x>{ sin }^{ -1 }x\) then

    (a)

    \(\cfrac { 1 }{ \sqrt { 2 } } <x\le 1\)

    (b)

    \(0\le x<\cfrac { 1 }{ \sqrt { 2 } } \)

    (c)

    \(-1\le x<\cfrac { 1 }{ \sqrt { 2 } } \)

    (d)

    x>0

  10. The domain of cos-1(x2 - 4) is______

    (a)

    [3, 5]

    (b)

    [-1, 1]

    (c)

    \(\left[ -\sqrt { 5 } ,-\sqrt { 3 } \right] \cup \left[ \sqrt { 3 } ,\sqrt { 5 } \right] \)

    (d)

    [0, 1]

*****************************************

TN 12th Standard Maths free Online practice tests

Reviews & Comments about 12th Standard Maths Inverse Trigonometric Functions English Medium Free Online Test One Mark Questions 2020 - 2021

Write your Comment