Home
Class 12
MATHS
If z = sec^(-1) (x + 1/x) + sec^(-1) (y ...

If z = `sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y)`, where xy< 0, then the possible value of z is (are)

A

`3//4`

B

`-3//4`

C

`1//4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c,d
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS II|3 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)|50 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

Is sec^(-1) (-x) = pi - sec^(-1) x , |x| ge 1 ?

If x gt y gt z gt 0 , then find the value of "cot"^(-1) (xy + 1)/(x - y) + "cot"^(-1)(yz + 1)/(y - z) + "cot"^(-1)(zx + 1)/(z - x)

If z = sec ^ (- 1) ((x ^ (4) + y ^ (4) -8x ^ (2) y ^ (2)) / (x ^ (2) + y ^ (2))) then x (from z) / (from x) + y (from z) / (from y) =

If y = tan^(-1) x + cot^(-1) x + sec^(-1) + "cosec"^(-1) x . "then" (dy)/(dx) is equal to

1-(dy)/(dx)=sec(x-y)," where "x-y=u

If y = sec^(-1) ((1)/(2x^(2) -1)) " then " (dy)/(dx) = ?

For x, y, z, t in R, sin^(-1) x + cos^(-1) y + sec^(-1) z ge t^(2) - sqrt(2pi t) + 3pi The value of x + y + z is equal to

If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)) then (dy)/(dx) is equal to :

FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL II)
  1. The equation 2sin(x/2).cos^2x+sin^2x=2sin(x/2)sin^2x+cos^2x has a root...

    Text Solution

    |

  2. If cos x + cot x +1=cosec x then the possible values of x can be

    Text Solution

    |

  3. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

    Text Solution

    |

  4. If the equation sin x + cos (k +x)+ cos (k-x)=2 has real solutions, th...

    Text Solution

    |

  5. If sin theta =a has exactly 3 solution in theta in [0,(7pi)/(3)] then...

    Text Solution

    |

  6. The values of x satisfying the system of equation 2^("sin" x + "cos"...

    Text Solution

    |

  7. 2 sin^(2)x + sin^(2)2x=2,pi lt x lt pi then x equals

    Text Solution

    |

  8. If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral ...

    Text Solution

    |

  9. If sqrt(3)(sin theta +cos theta)=2 + sin theta then theta equal to

    Text Solution

    |

  10. If sin(pi cos theta)=cos(pi sin theta), then sin 2theta=

    Text Solution

    |

  11. If 0lt plt 2pi and sin^(-1)(sinp)lt (x^(2))/(y)+(3y^(2))/(x)+(1)/(81xy...

    Text Solution

    |

  12. If z = sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y), where xy< 0, then the ...

    Text Solution

    |

  13. If cos x=sqrt(1-sin 2x),0 le x le pi then a value of x is

    Text Solution

    |

  14. If: tan^(-1)(x-1)/(x+1)+ tan^(-1)(2x-1)/(2x+1) = tan^(-1) 23/36. Then:...

    Text Solution

    |

  15. Solve for x, cos^(-1)((x^(2)-1)/(x^(2)+1))+tan^(-1)((-2x)/(1-x^(2)))=(...

    Text Solution

    |

  16. General solution of the equation 4 cot 2 theta = cot^(2) theta - tan...

    Text Solution

    |

  17. If 1/2lt|x|lt1 then which of the following are real ?

    Text Solution

    |

  18. If 6 sin^(-1)(x^(2)-6x+17/2)=pi then

    Text Solution

    |

  19. The general solution of the equation 2^(cos2x)+1=3*2^(-sin^2x) is

    Text Solution

    |

  20. If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//...

    Text Solution

    |