Home
Class 12
MATHS
The value of ["tan"^(-1)(m)/(n)-tan^(-1)...

The value of `["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))]` is -

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`-(pi)/(4)`

D

`-(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If m, n in R , then the value of I(m,n)=int_(0)^(1) t^(m)(1+t)^(n)dt is -

m^(3)-n^(3)-m(m^(2)-n^(2))+n(m-n)^(2)

The value of lim_(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi)/(2n))]^(1/n) is

Prove that: sum_(m=1)^ntan^(-1)((2m)/(m^4+m^2+2))=tan^(-1)((n^2+n)/(n^2+n+2))

sum_(m=1)^(n) tan^(-1) ((2m)/(m^(4) + m^(2) + 2)) is equal to

sum_(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1)))) is equal to (a) tan^(-1)(sqrt(n))-pi/4 (b) tan^(-1)(sqrt(n+1))-pi/4 (c) tan^(-1)(sqrt(n)) (d) tan^(-1)(sqrt(n)+1)

IfI_(m , n)=int_0^(pi/2)sin^m xcos^n xdx , Then show that I_(m , n)=(m-1)/(m+n)I_(m-2,n)(m ,n in N) Hence, prove that I_(m , n)=f(x)={((n-1)(n-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))pi/4 when both m and n are even ((m-1)(m-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))}

Let x, y be positive real numbers and m, n be positive integers, The maximum value of the expression (x^(m)y^(n))/((1+x^(2m))(1+y^(2n))) is

If the sum of the first m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, prove that, (m+n)((1)/(m)-(1)/(p)) = (m+p)((1)/(m) - (1)/(n))

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  2. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  3. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |

  4. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

    Text Solution

    |

  5. A real valued function f(x) stisfies the functional relation f(x-y)=f(...

    Text Solution

    |

  6. The probability of having a king and a queen when two cards are drawn ...

    Text Solution

    |

  7. A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3),P(B)...

    Text Solution

    |

  8. The chance of throwing a total of 7 or 12 with two dice is -

    Text Solution

    |

  9. If A and B are two events, then the probability that one and only one ...

    Text Solution

    |

  10. If A and B are two events and P(A cup B)=(5)/(6), P(A cap B)=(1)/(3) a...

    Text Solution

    |

  11. If two fair coins are tossed together 5 times, then the probability o...

    Text Solution

    |

  12. If n and p are two parameters of Binomial Distribution and its varian...

    Text Solution

    |

  13. 5 unbiased coins are tossed at random. The probability of getting at l...

    Text Solution

    |

  14. Roots of the equation 3x^2 -6x+4=0 are alpha and beta then find the ...

    Text Solution

    |

  15. The angle between the normals to the planes x-y+2z=8 and 2x+y+z=12 is...

    Text Solution

    |

  16. The acute angle between the normals to the planes the points (3, 2, 3...

    Text Solution

    |

  17. If the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z-...

    Text Solution

    |

  18. The equation of the line passing through the point (2, -3, 1) and para...

    Text Solution

    |

  19. If the straight line joining the points (4, -3, 2) and (3, -1, 5) is p...

    Text Solution

    |

  20. If veca=hati-2hatj+3hatk and vecb=-2hati+hatj-2hatk, then the value o...

    Text Solution

    |