Home
Class 12
MATHS
Let A,B,C, be three angles such that A=p...

Let A,B,C, be three angles such that `A=pi/4` and `tanB ,tanC=pdot` Find all possible values of `p` such that `A , B ,C` are the angles of a triangle.

Text Solution

Verified by Experts

The correct Answer is:
`p in (-oo, 0) cup beta + 2sqrt(2), oo`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

Let A,B,C be the three angles such that A+B+C=pi , tan A.tan B=2 , then find the value of (cos A cos B)/(cos C)

Let A , B , C be the three angles such that A+B+C=pi . If tanA.tanB=2, then find the value of (cosAcosB)/(cosC)

Let A , B , C be the three angles such that A+B+C=pi . If T a nAtanB=2, then find the value of (cos(A-B))/(cosC)

In triangle A B C , if /_A=pi/4, then find all possible values of tanBtanCdot

Let a,b,c,d be real numbers such that |a-b|=2, |b-c|=3, |c-d|=4 Then the sum of all possible values of |a-d|=

Let triangle ABC be right angled at C.If tanA+tanB=2 , then-

In a triangle A B CifB C=1a n dA C=2, then what is the maximum possible value of angle A ?

In a triangle A B CifB C=1 and AC=2, then what is the maximum possible value of angle A ?

If the angle A,B,C of a Delta ABC are in A.P then :-

If A,B,C are the angles of a non right angled triangle ABC. Then find the value of: |[tanA,1,1],[1,tanB,1],[1,1,tanC]|

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. Show that for any triangle with sides a ,b ,a n dc3(a b+b c+c a)<(a+b+...

    Text Solution

    |

  2. If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/C=60^0 , then fin...

    Text Solution

    |

  3. If Delta is the area of a triangle with side lengths a, b, and c, then...

    Text Solution

    |

  4. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

    Text Solution

    |

  5. Let A,B,C, be three angles such that A=pi/4 and tanB ,tanC=pdot Find a...

    Text Solution

    |

  6. Consider the following statements concerning a DeltaABC (i) The sid...

    Text Solution

    |

  7. If in a triangle of base 'a', the ratio of the other two sides is r ( ...

    Text Solution

    |

  8. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

    Text Solution

    |

  9. If in a triangle ABC, cos A +cos B+cos C=3/2, prove that the triangle ...

    Text Solution

    |

  10. If p(1),p(2),p(3) are the altitues of a triangle from the vertieces A,...

    Text Solution

    |

  11. If p(1),p(2),p(3) are the perpendiculars from the vertices of a triang...

    Text Solution

    |

  12. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  13. In triangle A B C ,a : b : c=4:5: 6. The ratio of the radius of the ci...

    Text Solution

    |

  14. The side of a triangle inscribed in a given circle subtends angles alp...

    Text Solution

    |

  15. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  16. Circles with radii 3, 4 and 5 touch each other externally, if P is the...

    Text Solution

    |

  17. If In is the area of n-s i d e d regular polygon inscribed in a cir...

    Text Solution

    |

  18. Let ABC be a triangle with incenter I and inradius r. Let D, E, and F ...

    Text Solution

    |

  19. Let ABC be a triangle having O and I as its circumcentre and incentre,...

    Text Solution

    |

  20. The exradii r(1), r(2), and r(3) " of " Delta ABC are in H.P. show tha...

    Text Solution

    |