Home
Class 12
MATHS
If cos x - y^(2) - sqrt(y - x ^(2) - 1 )...

If `cos x - y^(2) - sqrt(y - x ^(2) - 1 )ge 0 ` , then

A

`y ge 1`

B

`x in R`

C

y=1

D

x=0

Text Solution

Verified by Experts

The correct Answer is:
C, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|17 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|18 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|24 Videos

Similar Questions

Explore conceptually related problems

2x + y ge 0

Prove that sin ^ (- 1) x + cos ^ (- 1) y = (tan ^ (- 1) (xy + sqrt ((1-x ^ (2)) (1-y ^ (2)))) ) / (y sqrt (1-x ^ (2)) - x sqrt (1-y ^ (2)))

Knowledge Check

  • If cos^(-1)x + cos^(-1)y + cos^(-1)z = pi , where -1 le x, y le 1 and x + y ge 0 , then x^(2) + y^(2) + z^(2)+ 2xyz is equal to

    A
    0
    B
    1
    C
    `(x+y+z)^(2)`
    D
    `xy + yz + zx`
  • If x = sqrt(a) + (1)/( sqrt(a)) , y = sqrt(a) - (1)/( sqrt(a)) ( a gt 0) then the value of (x^(4) + y^(4) - 2 x^(2) y^(2)) is

    A
    16
    B
    20
    C
    10
    D
    5
  • If cos (x-y)=(sqrt3)/2 and sin(x+y)=1/2 , then the value of x(0ltxlt90) is

    A
    `45^(@)`
    B
    `30^(@)`
    C
    `15^(@)`
    D
    `60^(@)`
  • Similar Questions

    Explore conceptually related problems

    Using integration, find the area of the region {(x,y) : x^(2) +y^(2) le 1, x+y ge 1, x ge 0, y ge 0}

    If cos x=(2cos y-1)/(2-cos y), where x,y in(0,pi) then tan(x)/(2)cot(y)/(2) is equal to sqrt(2)( b) sqrt(3)(c)(1)/(sqrt(2))(d)(1)/(sqrt(3))

    If x in[0, (pi)/2] such that |(sin x+cos x)-sqrt2| +|y+(1)/(y)-2|+|z| le 0 , then. the valuc of |[sin 4 x , cos ^2 x , 1],[ y+2 , y^3 , (1)/(y)],[ ln (z+1) , z+5 , z^(3)+2]| is

    2x + y ge 6, x + 2y ge 8, x ge 0, y ge 0

    2x + y le 6, x + 2y le 8, x ge 0, y ge 0