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12th Standard English Medium Maths Subject Inverse Trigonometric Functions Book Back 1 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  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)

    \(x-\pi\)

  2. If \(\sin ^{-1} x+\sin ^{-1} y=\frac{2 \pi}{3}\)then cos-1 x + cos-1 y is equal to

    (a)

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

    (b)

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

    (c)

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

    (d)

    \(\pi\)

  3. If sin−1x = 2sin−1 \(\alpha\) has a solution, then

    (a)

    \(|\alpha |\le \frac { 1 }{ \sqrt { 2 } } \)

    (b)

    \(|\alpha |\ge \frac { 1 }{ \sqrt { 2 } } \)

    (c)

    \(|\alpha |<\frac { 1 }{ \sqrt { 2 } } \)

    (d)

    \(|\alpha |>\frac { 1 }{ \sqrt { 2 } } \)

  4. \(\sin ^{-1}(\cos x)=\frac{\pi}{2}-x\) is valid for

    (a)

    \(-\pi \le x\le 0\)

    (b)

    \(0 \le x\le \pi\)

    (c)

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

    (d)

    \(-\frac { \pi }{ 4 } \le x\le \frac { 3\pi }{ 4 } \)

  5. If sin-1 x+sin-1 y+sin-1 \(z = \frac{3\pi}{2}\), the value of x2017+y2018+z2019\(-\frac { 9 }{ { x }^{ 101 }+{ y }^{ 101 }+{ z }^{ 101 } } \)is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

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