JEE Questions for Maths Inverse Trigonometric Functions Quiz 2 - MCQExams.com


Maths-Inverse Trigonometric Functions-33618.png
  • 2/3√5
  • 2/3
  • 1/√5
  • 4/√5

Maths-Inverse Trigonometric Functions-33619.png
  • π/2
  • π/4
  • π/3
  • π

Maths-Inverse Trigonometric Functions-33620.png
  • cosβ > 0
  • sinβ < 0
  • cos(α + β) > 0
  • cosα < 0

Maths-Inverse Trigonometric Functions-33621.png
  • 0
  • 1
  • 2
  • ∞

Maths-Inverse Trigonometric Functions-33622.png
  • 1
  • 2
  • 3
  • 4
If a > b > 0, then the value of tan-1 (a/b) + tan-1 ((a+b)/(a-b))
  • both a and b
  • b but not a
  • a but not b
  • neither a nor b
The value of cos[2 tan-1 (-7)] is
  • 49/50
  • - (49/50)
  • 24/25
  • - (24/25)
  • 48/49
If α and β are the roots of the equations 6χ2 - 5χ + 1 = 0, then the value of tan-1 α + tan-1 β is
  • 0
  • π/4
  • 1
  • π/2

Maths-Inverse Trigonometric Functions-33623.png
  • 1/2
  • 1/√3
  • √3
  • 2
The equation sin-1 χ - cos-1 χ = cos-1 (√3/has
  • no solutoion
  • unique solution
  • infinite number of solutions
  • None of the above

Maths-Inverse Trigonometric Functions-33624.png
  • tan2 (α/2)
  • cot2 (α/2)
  • tanα
  • cot (α/2)

Maths-Inverse Trigonometric Functions-33625.png
  • 0
  • 1
  • tan-1 χ
  • tan-12χ
If 4 sin-1 χ + cos-1 χ = π, then χ is equal to
  • 0
  • 1/2
  • - (1/2)
  • 1
Which one of the following is correct ?
  • sin (cos-1χ) = cos (sin-1χ)
  • sec (tan-1χ) = tan (sec-1χ)
  • cos (tan-1χ) = tan (cos-1χ)
  • tan(sin-1χ) = sin (tan-1χ)
If tan-1 χ + tan-1 y = π/4 , then
  • χ + y + χy = 1
  • χ + y - χy = 1
  • χ + y + χy + 1 = 0
  • χ + y - χy + 1 = 0

Maths-Inverse Trigonometric Functions-33626.png
  • - 1
  • 2/5
  • 1/3
  • 1
  • 1/5

Maths-Inverse Trigonometric Functions-33627.png

  • Maths-Inverse Trigonometric Functions-33628.png
  • 2)
    Maths-Inverse Trigonometric Functions-33629.png

  • Maths-Inverse Trigonometric Functions-33630.png
  • none
If we consider only the principle values of the inverse trigonometric functions then the value of
Maths-Inverse Trigonometric Functions-33631.png

  • Maths-Inverse Trigonometric Functions-33632.png
  • 2)
    Maths-Inverse Trigonometric Functions-33633.png

  • Maths-Inverse Trigonometric Functions-33634.png

  • Maths-Inverse Trigonometric Functions-33635.png
If χ, y and z are in AP and tan-1 χ, tan-1y and tan-1 z are also in AP, then
  • χ = y = z
  • χ = y = - z
  • χ = 1, y = 2, z = 3
  • χ = 2, y = 4, z = 6
  • χ = 2, y = 3z
For the equations cos-1χ + cos-1 2χ + π = 0, the number of real solutions is
  • 1
  • 2
  • 0
  • ∞

Maths-Inverse Trigonometric Functions-33636.png
  • one
  • two
  • zero
  • None of these

Maths-Inverse Trigonometric Functions-33637.png
  • π/3
  • π/4
  • π/2
  • 0
If tan-1 a + tan-1 b = sin-1 1 - tan-1 c, then
  • a + b + c = abc
  • ab + bc + ca = abc
  • 1/a + 1/b + 1/c - (1/abc) = 0
  • ab + bc + ca = a + b + c
The value of cos-1 (cos- sin-1 (sinis
  • 2
  • 8π - 26
  • 4π + 2
  • None of these
If cos-1 χ > sin-1 χ , then

  • Maths-Inverse Trigonometric Functions-33639.png
  • 2)
    Maths-Inverse Trigonometric Functions-33640.png

  • Maths-Inverse Trigonometric Functions-33641.png
  • χ > 0
If tan-1 (a/χ) + tan-1 (b/χ) = π/2, then χ is equal to

  • Maths-Inverse Trigonometric Functions-33642.png
  • 2)
    Maths-Inverse Trigonometric Functions-33643.png
  • 2ab
  • ab

Maths-Inverse Trigonometric Functions-33644.png

  • Maths-Inverse Trigonometric Functions-33645.png
  • 2)
    Maths-Inverse Trigonometric Functions-33646.png

  • Maths-Inverse Trigonometric Functions-33647.png
  • none

Maths-Inverse Trigonometric Functions-33648.png

  • Maths-Inverse Trigonometric Functions-33649.png
  • 2)
    Maths-Inverse Trigonometric Functions-33650.png

  • Maths-Inverse Trigonometric Functions-33651.png
  • None of these
If sin-1 a + sin-1 b + sin-1 c = π, then the value of a√(1- a2) + b √(1 - b2) + c√(1 - c2) will be
  • 2abc
  • abc
  • (1/2)abc
  • (1/abc

Maths-Inverse Trigonometric Functions-33653.png
  • 1
  • √3
  • - 1
  • 1/√3
0:0:1


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