Home
Class 12
MATHS
If a + (pi)/(2) lt 2 tan^(-1) x + 3 cot^...

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

A

0 and `pi`

B

0 and `2pi`

C

`(pi)/(2)` and `2pi`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2018

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MATHEMATICS

    KCET PREVIOUS YEAR PAPERS|Exercise MCQs|59 Videos

Similar Questions

Explore conceptually related problems

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

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

If 2 lt x lt 3 , then :

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

The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is

If 0 lt x lt (pi)/(4) then sec 2 x-tan 2 x=

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

If sin A=(3)/(5), tan B=(1)/(2) and (pi)/(2) lt A lt pi and pi lt B lt 3(pi)/(2), then 8 tan A+sqrt(5) sec B=

If tan A = 1/3 and tan B = 2/7 , then cot(A-B)=

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2019-MATHEMATICS
  1. On the set of positive rationals, a binary operation ** is defined by ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If |3x - 5|le2, then

    Text Solution

    |

  5. A random variable ‘X’ has the following probability distribution: ...

    Text Solution

    |

  6. If A and B are two events of a sample space S such that P(A) = 0.2, P(...

    Text Solution

    |

  7. If 'X' has a binomial distribution with parameters n=6, p and P(X=2)=1...

    Text Solution

    |

  8. A man speaks truth 2 out of 3 times. He picks one of the natural numbe...

    Text Solution

    |

  9. The order of the differential equation y=C(1)e^(C(2)+x)+C(3)e^(C(4)+...

    Text Solution

    |

  10. If |veca| -= 16,|vecb| = 4 then, sqrt(|vecaxxvecb|^(2)+|veca.vecb|^(2...

    Text Solution

    |

  11. If the angle between veca and vecb is (2pi)/3 and the projection of ve...

    Text Solution

    |

  12. A unit vector perpendicular to the plane containing the vectors hati+2...

    Text Solution

    |

  13. [veca+2vecb-vecc,veca-vecb,veca-vecb-vecc] =

    Text Solution

    |

  14. root(3) (y) sqrtx = root(6)((x+y)^(5)), then (dy)/(dx) =

    Text Solution

    |

  15. Roll's theorem is not applicable in which one of the following cases?

    Text Solution

    |

  16. THe interval in which the function f(x) = x^(3) - 6x^(2) + 9x + 10 is ...

    Text Solution

    |

  17. The side of an equilateral triangle are increasing at the rate of 2 cm...

    Text Solution

    |

  18. The value of sqrt(24.99) is

    Text Solution

    |

  19. int(-3)^(3) cot^(-1)x dx =

    Text Solution

    |

  20. int (1)/(sqrtx+xsqrtx) dx =

    Text Solution

    |