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11th Standard English Medium Maths Subject Trigonometry Book Back 1 Mark Questions with Solution Part - I

11th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    1 Marks

    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 + 3 cos2x + \(sin\frac { x }{ 2 } +cos\frac { x }{ 2 } \) is

    (a)

    \(4 + \sqrt{2}\)

    (b)

    \(3+ \sqrt{2}\)

    (c)

    9

    (d)

    4

  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. Which of the following is not true?

    (a)

    ​​​​​​sinፀ = \(-\frac { 3 }{ 4 } \)

    (b)

    cosፀ = -1

    (c)

    tanፀ = 25

    (d)

    secፀ = \(\frac { 1 }{ 4 } \)

  5. cos 2ፀ cos 2ф + sin2(ፀ - ф) - sin2(ፀ + ф) is equal to

    (a)

    sin2(ፀ+\(\phi \))

    (b)

    cos2(ፀ+\(\phi \))

    (c)

    sin2(ፀ-\(\phi \))

    (d)

    cos2(ፀ-\(\phi \))

  6. \(\frac { sin(A-B) }{ cosAcosB } +\frac { sin(B-C) }{ cosBcosC } +\frac { sin(C-A) }{ cosCcosA } \) is

    (a)

    sin A + sin B + sin C

    (b)

    1

    (c)

    0

    (d)

    cos A + cos B + cos C

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

    (a)

    equilateral triangle

    (b)

    isosceles triangle

    (c)

    right triangle

    (d)

    scalene triangle

  8. If f(ፀ) = |sin ፀ| + |cos ፀ|, ፀ\(\in \)R, then f(ፀ) is in the interval     

    (a)

    [0, 2]

    (b)

    [1,\(\sqrt { 2 } \)]

    (c)

    [1, 2]

    (d)

    [0, 1]

  9. \(\frac { cos6x+6cos4x+15cos2x+10 }{ cos5x+5cos3x+10cosx } \) is equal to

    (a)

    cos 2x

    (b)

    cos x

    (c)

    cos 3x

    (d)

    2 cos x

  10. The triangle of maximum area with constant perimeter 12m

    (a)

    is an equilateral triangle with side 4m

    (b)

    is an isosceles triangle with sides 2m, 5m, 5m

    (c)

    is a triangle with sides 3m, 4m, 5m

    (d)

    Does not exist

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