Home
Class 12
MATHS
If a+pi/2lt2tan^(-1)x+3cot^(-1)xltb then...

If `a+pi/2lt2tan^(-1)x+3cot^(-1)xltb` then 'a'and 'b' are respectively.

A

1)`0 and 2pi`

B

2)`0 and pi`

C

3)`(-pi)/2 and 2pi`

D

4)`pi/2 and 2pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS -2018

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|58 Videos
  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos

Similar Questions

Explore conceptually related problems

If a + (pi)/(2) lt 2 tan^(-1) x + 3 cot^(-1) x lt b then ‘a’ and ‘b’ are respectively

If 3 "tan^(-1)x+cot^(-1)x-=pi then x equal to

If tan^(-1) 2x + tan^(-1) 3x = (pi)/(4) , then x =

Find x, if tan^(-1)4+cot^(-1)x=(pi)/(2) .

Prove that tan^(-1)x+cot^(-1)x=(pi)/(2), x in R .

If sin ^(-1) x+cot ^(-1) (1)/(2)=(pi)/(2), then x=

tan^(-1)("tan"(2pi)/3)

Solve tan^(-1)2x+tan^(-1)3x=(pi)/4

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2019-MCQs
  1. On the set of positive rationals, a binary operation * is defined by a...

    Text Solution

    |

  2. cos[2"sin"^(-1)3/4+"cos"^(-1)3/4]=

    Text Solution

    |

  3. If a+pi/2lt2tan^(-1)x+3cot^(-1)xltb then 'a'and 'b' are respectively.

    Text Solution

    |

  4. Let n(U) = 700 , n (A) = 200 , n (B) = 300 and n (A nn B) =100, then n...

    Text Solution

    |

  5. The domain of the function f:RrarrR defined by f(x)=sqrt(x^(2)-7x+12 i...

    Text Solution

    |

  6. If cos x=|sinx| then, the general solution is

    Text Solution

    |

  7. Show that sqrt3" cosec "20^(@)-sec 20^(@)=4

    Text Solution

    |

  8. If P(n): 2^(n)ltn! Then the smallest positive integer for which P(n) i...

    Text Solution

    |

  9. Foot of the perpendicular drawn from the point (1,3,4) to the plane 2x...

    Text Solution

    |

  10. Acute angle between the line (x-5)/2=(y+1)/-1=(z+4)/1 and the plane 3x...

    Text Solution

    |

  11. The distance of the point (1,2,1) from the line (x-1)/2=(y-2)/1=(z-3)/...

    Text Solution

    |

  12. XY-plane divides the line joining the points A(2,3,-5) and B(-1,-2,-3)...

    Text Solution

    |

  13. The inverse of the matrix [(2,5,0),(0,1,1),(-1,0,3)] is

    Text Solution

    |

  14. If P and Q are symmetric matrices of the same order then PQ-QP is

    Text Solution

    |

  15. If 3A+4B'=[(7,-10,17),(0,6,31)]and 2B-3A'[(-1,18),(4,0),(-5,-7)]" then...

    Text Solution

    |

  16. If A=[(1,3),(4,2)],B=[(2,-1),(1,2)]," then "|ABB'|=

    Text Solution

    |

  17. If the value of a third order determinant is 16, then the value of the...

    Text Solution

    |

  18. The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

    Text Solution

    |

  19. sum(r=1)^(n)(2r-1)=x" then "lim(nrarroo)[1^(3)/x^(2)+2^(3)/x^(2)+3^(3)...

    Text Solution

    |

  20. The negative of the statement "All continuous functions are differenti...

    Text Solution

    |