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

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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible values of z is (are) (8pi)/(10) (b) (7pi)/(10) (c) (9pi)/(10) (d) (21pi)/(20)

If x+z=1,y+z=1,x+y=4 then the value of y is

If sec x cos 5x+1=0 , where 0lt x lt 2pi , then x=

If xyz=(1-x)(1-y)(1-z) Where 0<=x,y, z<=1 , then the minimum value of x(1-z)+y (1-x)+ z(1-y) is

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

If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero solution, then the possible value of k are a. -1,2 b. 1,2 c. 0,1 d. -1,1

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 cos^(-1) ("min" {x, y, z}) is

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if x+y+z=xyz , then

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Solve (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 lt 0,...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the largest positive term of the H.P.. Whose first two term 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. The value of cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3))))))...

    Text Solution

    |

  8. int0^(3"pi"//2)sin[(2x)/pi]"dxw h e r e"[dot] denotes the greatest int...

    Text Solution

    |

  9. Which of the following when simplified reduces to unity ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Determine the domain and range of the relation R. R={(x+1,x+5)|x in{...

    Text Solution

    |

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

    Text Solution

    |

  14. Let f(x) be a polynomial of degree 3 such that f(3)=1, f'(3)=-1, f''(3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |