Home
Class 12
MATHS
In Delta ABC is H is the orthocentre of ...

In `Delta ABC` is H is the orthocentre of `Delta ABC` and x= AH, y=BH, z=CH, then x+y+z=

A

r+R

B

`2(r+R)`

C

`1/2(r+R)`

D

`2(r-R)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 1|10 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|177 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

IF H is the orthocentre of Delta ABC and if AH=x, BH=y, CH=z, then a/x+b/y+c/z=

If H is the orthocentre of DeltaABC and AH=x, BH=y, CH=z then (abc)/(xyz)=

If H is the orthocentre of triangle ABC, R = circumradius and P=AH+BH+CH, then

In a Delta ABC , the distance of orthocentre ( O ) from the vertices A, B , C are x,y,z respectively show that x+ y+ z = 2 ( r + R )

If O is the circumcentre, 'H' is the orthocentre of triangle ABC, then show that bar(OA)+bar(OB)+bar(OC)=bar(OH)

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1B
  1. In Delta ABC, if r1,r2,r3 are in H.P., then r2//r=

    Text Solution

    |

  2. In Delta ABC, if r1=r2=r3 then the triangle is

    Text Solution

    |

  3. In Delta ABC, if r r1=r2 r3, then the triangle is

    Text Solution

    |

  4. In Delta ABC the roots of the equation x^3-(r+4R)x^2+s^2x-s^2r=0 are

    Text Solution

    |

  5. In Delta ABC, if r1 lt r2 lt r3 then

    Text Solution

    |

  6. In Delta ABC, if 2r1=3r2=r3, then a:b:c=

    Text Solution

    |

  7. In Delta ABC, if 4r=3R then cos A+ cos B+ cos C=

    Text Solution

    |

  8. In Delta ABC is H is the orthocentre of Delta ABC and x= AH, y=BH, z=C...

    Text Solution

    |

  9. If the line joining the circumcentre 'O' and the incentre I is paralle...

    Text Solution

    |

  10. In Delta ABC, if 2R+r=r1 then the triangle is

    Text Solution

    |

  11. If A,A(1),A(2),A(3) are the areas of incircle and ex-circle of a trian...

    Text Solution

    |

  12. The ratio of the area of the incircle to the area of Delta ABC is

    Text Solution

    |

  13. If p(1),p(2),p(3) are altitudes of a DeltaABC then show that (1)/(...

    Text Solution

    |

  14. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

    Text Solution

    |

  15. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

    Text Solution

    |

  16. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

    Text Solution

    |

  17. IF p1,p2,p3 are the lengths of the altitudes from the vertices of Delt...

    Text Solution

    |

  18. IF p1,p2,p3 are the lengths of the altitudes from the vertices of Delt...

    Text Solution

    |

  19. If in a triangle ABC, the altitudes from the A,B,C on opposite sides a...

    Text Solution

    |

  20. If Delta ABC, A' B' C' are such that B=B', A+A'=180^@, then aa'=

    Text Solution

    |