Home
Class 12
MATHS
If in the triangle ABC, "tan"(A)/(2), "t...

If in the triangle ABC, `"tan"(A)/(2), "tan"(B)/(2) and "tan"(C )/(2)` are in harmonic progression then the least value of `"cot"^(2)(B)/(2)` is equal to :

A

`sqrt3`

B

1

C

`(1)/(sqrt2)`

D

`(1)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|19 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|16 Videos

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|11 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC, "cot"(A)/(2) + "cot" (B)/(2) + "cot" (C)/(2) is equal to

In any DeltaABC,("tan"(A)/(2)-"tan"(B)/(2))/("tan"(A)/(2)+"tan"(B)/(2)) is equal to:

In any triangle ABC , (tan(A/2)-tan(B/2))/(tan(A/2)+tan(B/2)) is equal to

In Delta ABC if tan(A/2) tan(B/2) + tan(B/2) tan(C/2) = 2/3 then a+c

. In a DeltaABC, If tan (A/2) , tan(B/2), tan (C/2) , are in H.P.,then a,b,c are in

if ABC is a triangle and tan(A/2), tan(B/2), tan(C/2) are in H.P. Then find the minimum value of cot(B/2)

For triangle ABC, show that "tan"(B+C)/2="cot"A/2

In a triangle ABC if tan.(A)/(2)tan.(B)/(2)=(1)/(3) and ab = 4, then the value of c can be

In any Delta ABC the value of 1-tan""B/2 tan""C/2 is equal to :-

If in Delta ABC, tan.(A)/(2) = (5)/(6) and tan.( C)/(2)= (2)/(5) , then prove that a, b, and c are in A.P.

VIKAS GUPTA (BLACK BOOK) ENGLISH-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. If in the triangle ABC, "tan"(A)/(2), "tan"(B)/(2) and "tan"(C )/(2) a...

    Text Solution

    |

  2. Let a,b,c,d be four distinct real number in A.P.Then the smallest posi...

    Text Solution

    |

  3. The sum of all digits of n for which sum (r =1) ^(n ) r 2 ^(r ) = 2+2^...

    Text Solution

    |

  4. If lim ( n to oo) (r +2)/(2 ^(r+1) r (r+1))=1/k, then k =

    Text Solution

    |

  5. The value of sum (r =1) ^(oo) (8r)/(4r ^(4) +1) is equal to :

    Text Solution

    |

  6. If three non-zero distinct real numbers form an arithmatic progression...

    Text Solution

    |

  7. The sum of the fourth and twelfth term of an arithmetic progression is...

    Text Solution

    |

  8. In an increasing sequence of four positive integers, the first 3 terms...

    Text Solution

    |

  9. The limit of (1)/(n ^(4)) sum (k =1) ^(n) k (k +2) (k +4) as n to oo i...

    Text Solution

    |

  10. Which is the last digit of 1+2+3+……+ n if the last digit of 1 ^(3) + ...

    Text Solution

    |

  11. There distinct positive numbers, a,b,c are in G.P. while log (c) a, lo...

    Text Solution

    |

  12. The numbers 1/3, 1/3 log (x) y, 1/3 log (y) z, 1/7 log (x) x are in H...

    Text Solution

    |

  13. If sum ( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relativel...

    Text Solution

    |

  14. The sum of the terms of an infinitely decreassing Geometric Progressio...

    Text Solution

    |

  15. A cricketer has to score 4500 runs. Let a (n) denotes the number of ru...

    Text Solution

    |

  16. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  17. Let f (n)=(4n + sqrt(4n ^(2) -1))/( sqrt(2n +1 )+sqrt(2n-1)),n in N th...

    Text Solution

    |

  18. Find the sum of series 1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+…… oo, where the...

    Text Solution

    |

  19. Let a (1), a(2), a(3),…….., a(n) be real numbers in arithmatic progres...

    Text Solution

    |

  20. Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geo...

    Text Solution

    |

  21. How many ordered pair (s) satisfy log (x ^(3) + (1)/(3) y ^(3) + (1)/(...

    Text Solution

    |