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  • Question 1
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    The set of values of ‘a ’for which x2   + ax + sin–1  (x2   –4x + 5) + cos–1  (x2   –4x+5 ) = 0 has at least one solution is

  • Question 2
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    The value of x for which sin [cot–1 (1+x)] = cos(tan–1 x)

  • Question 3
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    The value of     , if  ∠C = 900  in triangle ABC, is  

  • Question 4
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    The complete solution set of the inequality [cot–1  x]2   –6[cot –1  x] + 9  ≤0 is  (where [ * ] denotes the greatest integer function)

  • Question 5
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  • Question 6
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    The solution of the equation  

  • Question 7
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    The number of solution(s) of the equation, sin–1 x + cos–1  (1 –x) = sin–1  (–x), is/are

  • Question 8
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    If sin-1  x + sin-1  y + sin-1z =  , then  

  • Question 9
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    If α satisfies the inequation x2  –x –2 >0, then which of the following exists

  • Question 10
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     If ƒ(x) = -2x+8, then f-1 (1) =

  • Question 11
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    If the numerical value of tan (cos–1  (4/5) + tan–1  (2/3)) is a/b then

  • Question 12
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    The value of   is  

  • Question 13
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  • Question 14
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    Let f(x) = sin–1  x + cos–1  x. Then  π/2  is equal to

  • Question 15
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    If   , then x may be  

  • Question 16
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  • Question 17
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    α, βand γare three angles given by   , and  γ= cos-1 1/3. then

  • Question 18
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    For the equation 2x = tan (2 tan–1  a) + 2 tan (tan–1  a + tan–1  a3 ), which of the following is invalid ?

  • Question 19
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    cos–1  x = tan–1  x then

  • Question 20
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    The sum   is equal to  

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