Home
Class 12
MATHS
In DeltaABC if tan A + tan B+ tan C = 6...

In `DeltaABC` if tan A + tan B+ tan C = 6 and tan A. tan B = 2 then tan C = …..

A

3

B

4

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A

We have, tan A + tan B + tan C = 6
`implies` tan A tan B tan C = 6
and tan A, tan B = 2
From Eqs. (i) and (ii) we get tan C = 3
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2019 PAPER 1

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos
  • MOCK TEST 1

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

Delta ABC,tan A+tan B+tan C=6 and tan A tan B=2 then the triangle is

A+C=B rArr tan A tan B tan C=

If, in a Delta ABC, tan A = 1 and tan B = 2 , then : tan C = .......

In a triangle tan A + tan B + tan C=6 and tan A tan B= 2, then the values of tan A, tan B and tan C are

(a) tan A+tan B+tan C=tan A tan B tan C

A+B+C rArr tan A+tan B+tan C=

In Delta ABC, If tan B tan C+tan C tan A+tan A tan B=sqrt(3)tan A tan B tan C then the triangle is

If A+C=B , then tan A tan B tan C = ?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2019 PAPER 2-MATHEMATICS
  1. The y-intercept of the line passing through A(6,1) and perpendicular ...

    Text Solution

    |

  2. If function f(x)=x-(|x|)/(x),x lt 0 =x+(|x|)/(x),x gt 0 =1,x=0, ...

    Text Solution

    |

  3. In DeltaABC if tan A + tan B+ tan C = 6 and tan A. tan B = 2 then ...

    Text Solution

    |

  4. If P(6,10,10),Q(1,0,-5),R(6,-10,lamda) are vertices of a triangle righ...

    Text Solution

    |

  5. For L.P.P. maximize z = 4x(1) + 2X(2) subject to 3x(1) + 2x(2) ge 9,...

    Text Solution

    |

  6. The function f(x) = x^(3) - 3x is ……..

    Text Solution

    |

  7. If x = sin theta, y = sin^(3) theta then (d^(2)y)/(dx^(2)) at theta = ...

    Text Solution

    |

  8. The area of the region enclosed between pair of the lines xy = 0 and t...

    Text Solution

    |

  9. If three dices are thrown then the probability that the sum of the num...

    Text Solution

    |

  10. If f(x) = 3x + 6 ,g(x) = 4x + k and fog(x) = gof(x) then k …..

    Text Solution

    |

  11. If the surn of an infinite GP be 9 and sum of first two terms be 5 the...

    Text Solution

    |

  12. the negation of AA, n in N, n +7 gt 6 is . . .

    Text Solution

    |

  13. If the vectors xhati - 3hatj + 7 hatk and hati + y hatj- z hatk are...

    Text Solution

    |

  14. If int tan(x-alpha)tan(x+alpha)*tan2xdx=plog|sec2x|+qlog|sec(x+alpha)|...

    Text Solution

    |

  15. Using differentiation, approximate value of f(x)=x^(2)-2x1 at x=2.99 i...

    Text Solution

    |

  16. A particle moves so that x=2+27t-t^(3). The direction of motion revers...

    Text Solution

    |

  17. Which of the following is not equal to w.(u xx v)?

    Text Solution

    |

  18. The value of sin 18^(@) is

    Text Solution

    |

  19. If the foot of the perpendicular drawn from the point (0,0,0) to the p...

    Text Solution

    |

  20. int(x^(2)+1)/(x^(4)-x^(2)+1)dx= . . .

    Text Solution

    |