Home
Class 12
MATHS
In triangle ABC, line joining the circum...

In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tan A tan C is equal to

A

`sqrt(3)`

B

`3`

C

`3sqrt(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL I)|25 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC,line joining the circumcenter and orthocentre is parallel to side AC,then the value of tan A tan C is equal to sqrt(3)(b)3(c)3sqrt(3)(d) none of these

In triangle ABC, the line joining the circumcenter and incenter is parallel to side AC, then cos A + cos C is equal to

In triangle ABC ,the line joining the circumcenter and incenter is parallel to side AC, then cos A+cos C is equal to -1 (b) 1 (c) -2(d)2

Centroid divide line joining circumcenter and orthocenter in 1:2

In a triangle ABC,the line joining the circumcentre and incentre is parallel to BC, then cos B+cos C is equal to:

In triangle ABC if the line joining incenter to the circumcenter is parallel to the base BC, then the value of (cosB + cosC-1) is equal to

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

in triangle ABC,tan A+tan B+tan C=

MOTION-SOLUTION OF TRIANGLE-EXERCISE -1
  1. In A B C , the median A D divides /B A C such that /B A D :/C A D=2:1...

    Text Solution

    |

  2. If the median AD of triangle ABC makes an angle pi/4 with the side BC,...

    Text Solution

    |

  3. In a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

    Text Solution

    |

  4. If the area of triangleABC is triangle =a^(2) -(b-c)^(2), then: tanA =

    Text Solution

    |

  5. If the sides of a triangles are 3:7:8, then ratio R:r

    Text Solution

    |

  6. In a right angled triangle R is equal to

    Text Solution

    |

  7. In a triangle a = 13 , b = 14, c = 15, r =

    Text Solution

    |

  8. In an equilateral triangle, the inradius and the circumradius are conn...

    Text Solution

    |

  9. In a triangle ABC, right angled at B, then

    Text Solution

    |

  10. If the area of triangles is 100 sq. cm, r1= 10 cm and r2= 50 cm, then...

    Text Solution

    |

  11. In a triangleABC, the inradius and three exradii are r,r1,r2" and "r3 ...

    Text Solution

    |

  12. In a triangleABC if r1 lt r2 lt r3, then

    Text Solution

    |

  13. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

    Text Solution

    |

  14. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

    Text Solution

    |

  15. In triangle ABC, line joining the circumcenter and orthocenter is para...

    Text Solution

    |

  16. In a triangle ABC, angle A = 30^(2), BC = 2 + sqrt5, then find the dis...

    Text Solution

    |

  17. If in triangle A B C ,sumsinA/2=6/5a n dsumI I1=9 (where I1,I2a n dI3 ...

    Text Solution

    |

  18. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

    Text Solution

    |

  19. If H is the orthocentre of a triangle ABC, then the radii of the circl...

    Text Solution

    |

  20. Let f, g and h be the lengths of the perpendiculars from the circumcen...

    Text Solution

    |