Home
Class 12
MATHS
0 lt a lt 2 pi , sin^(-1)(sin a ) lt x^(...

`0 lt a lt 2 pi , sin^(-1)(sin a ) lt x^(2)-2x ` for all ` x in I` then ` a in `

A

`(0,pi +1)`

B

`(pi+1,(3pi)/(2))`

C

`((3pi)/(2), 2 pi -1)`

D

`(2pi-1, 2 pi )`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Matching Type Questions )|1 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

If 0 lt x lt pi/2 and sin^(n) x + cos^(n) x ge 1 , then n may belong to

Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured in radian ) . Then 'x' lies in the interval .

If 0 lt x lt 2 pi and |cos x| le sin x , then

If 0 lt x lt pi and cos x + sin x = 1/2 , then tan x is

If tan x = 3/4, pi lt x lt (3 pi)/2 , find the values of sin frac (x)(2), cos frac (x)(2) and tan frac (x)(2) .

If 0 lt= x lt= (pi)/(2) and 81^(sin^(2)x) + 81^(cos^(2)x) =30 then x is equal to :

If f (x)= [{:((sin [x^(2)]pi)/(x ^(2)-3x+8)+ax ^(3)+b,,, 0 le x le 1),( 2 cos pix + tan ^(-1)x ,,, 1 lt x le 2):} is differentiable in [0,2] then: ([.] denotes greatest integer function)

If y=sec^(-1)(sqrt(1+x^(2))) , when -1 lt x lt 1, then find (dy)/(dx)