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)

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 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 :

RESONANCE DPP-JEE MAINS-All Questions
  1. (x^2-7x+12)/(2x^2-4x+5)>0

    Text Solution

    |

  2. Product of real roots of the equation t^2x^2+|x|+9=0 a. is always +ve...

    Text Solution

    |

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

    Text Solution

    |

  4. If n is an odd integer then show that n ^(2) -1 is divisible by 8.

    Text Solution

    |

  5. Greatest positive term of a H.P. whose first who first two terms are 2...

    Text Solution

    |

  6. If the tangent at any point P on the curve x^m y^n = a^(m+n), mn != 0...

    Text Solution

    |

  7. Which of the following when simplified reduces to unity? (log)(3/2)(l...

    Text Solution

    |

  8. A line L is perpendicular to the line 3x-4y-7=0 and touches the circle...

    Text Solution

    |

  9. Let f (x) and g (x) be two differentiable functions, defined as: f (...

    Text Solution

    |

  10. Determine the domain and the range of the relation R defined by R{(x+1...

    Text Solution

    |

  11. Sixteen players P(1),P(2),P(3)….., P(16) play in tournament. If they g...

    Text Solution

    |

  12. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1,...

    Text Solution

    |

  13. Describe the following set by set property method {0,3,8,15 ,24 ,35}

    Text Solution

    |

  14. Let f(x) have a point of inflection at x=1 and let f^(")(x)=x. If f^('...

    Text Solution

    |

  15. In a circle, chords AB and CD intersect at a point R inside the circle...

    Text Solution

    |

  16. The domain of the funciton f(x) given by 3^(x) + 3^(f) = "min" (2t^(3...

    Text Solution

    |

  17. A set contains 2n+1 elements. The number of subsets of this set conta...

    Text Solution

    |

  18. Remove the irrationality in the denominator a.sqrt((sqrt(2)-1)/(...

    Text Solution

    |

  19. If x1,x2,x3,x4 be the roots of the equationx^4 + a x^3+b x^2 +cx + d =...

    Text Solution

    |

  20. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |