Home
Class 12
MATHS
If tan alpha + tanB + tanC = tanA tanB t...

If `tan alpha + tanB + tanC = tanA tanB tanC`, then

A

`A + B + C= pi`

B

`A + B + C= 2pi`

C

`A + B + C= npi`

D

`A + B + C= pi//2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

tanA +tanB + tanC = tanA tanB tanC if

If tanA+tanB+tanC=tanAtanBtanC then

In DeltaABC, tan B + tanC=5 and tan AtanC=3 , then

In an acute-angled triangle ABC, tanA+tanB+tanC=tanAtanBtanC , then tanAtanBtanC =

If tan^3A+tan^3B+tan^3C=3tanA* tanB*tanC , then prove that triangle ABC is an equilateral triangle.

In DeltaABC , tanA+tanB+tanC=tanAtanBtanC

Statement-1: In an acute angled triangle minimum value of tan alpha + tanbeta + tan gamma is 3sqrt(3) . And Statement-2: If a,b,c are three positive real numbers then (a+b+c)/3 ge sqrt(abc) into in a triangleABC , tanA+ tanB + tanC= tanA. tanB.tanC

If in DeltaABC, tan A+tanB+tanC=6 and tanA tanB=2 , then sin^(2)A:sin^(2)B:sin^(2)C is

In a DeltaABC , prove that : tanA+tanB+tanC= tanA tanB tanC

In a DeltaABC , prove that : tanA+tanB+tanC= tanA tanB tanC

RESONANCE ENGLISH-DPP-QUESTION
  1. Evaluate ((cos15^(@)-sin15^(@)+1)/(cos15^(@)+sin15^(@)+1))((1+sin15^(@...

    Text Solution

    |

  2. Which of the following is true ?

    Text Solution

    |

  3. If tan alpha + tanB + tanC = tanA tanB tanC, then

    Text Solution

    |

  4. Which of the followintg is true if A+B+C = pi

    Text Solution

    |

  5. If a1x^2 + b1 x + c1 = 0 and a2x^2 + b2 x + c2 = 0 has a common root...

    Text Solution

    |

  6. Find the average value of 2^(@),sin4^(@),sin6^(@)........sin180^(@),

    Text Solution

    |

  7. Find maximum and minimum values of 9cos^(2)x + 48 sinx cosx - 5 sin^...

    Text Solution

    |

  8. Find maximum and minimum values of 2sin(theta+(pi)/(6))+sqrt(3)cos(the...

    Text Solution

    |

  9. Solve (tan3x-tan2x)/(1+tan3xtan2x ')=1

    Text Solution

    |

  10. Solve cosx+cos3x-2cos2x=0

    Text Solution

    |

  11. Find the solution of the equation [x] + {-x} = 2x, (where [*] and {*} ...

    Text Solution

    |

  12. If tan alpha, tan beta, tangamma are the roots of the equation, x^3- ...

    Text Solution

    |

  13. Value of (4\ sin 9^@ sin 21^@ sin 39^@ sin 51^@ sin 69^@ sin 81^@)/(si...

    Text Solution

    |

  14. The graph of y = f(x) is given below then the graph y = |f(|x|)| ...

    Text Solution

    |

  15. If a,b,c are distinct positive numbers in H.P. then which of the relat...

    Text Solution

    |

  16. If the sum of the first 100 terms of an AP is -1 and the sum of even t...

    Text Solution

    |

  17. If the solution of the equation |(x^4-9) -(x^2 + 3)| = |x^4 - 9| - |x^...

    Text Solution

    |

  18. Let T(n) denotes the n ^(th) term of a G.P. with common ratio 2 and (l...

    Text Solution

    |

  19. Draw the labled graph of following (i) y = |7-2x| , (ii) y = |x-1|-|3...

    Text Solution

    |

  20. Which one of the following inequality holds good:

    Text Solution

    |