Home
Class 11
MATHS
if x,y,z are the distances of the vert...

if x,y,z are the distances of the vertices of ` Delta ABC ` from its orthocentre then ` x+y+z ' ` is

A

` 2 (R+r)`

B

` 2 (R - r)`

C

` 2 R-r`

D

` 2R+r`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (More than One correct answer Type Questions) |4 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - II|148 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC , if p,q,r are the distances from the orthocentre to the vertices A,B,C respectively, then a q r + b r p+ c p q =

If x, y, z are perpendicular distances from circumcentre to the sides of Delta^("le")ABC respectively then (xyz)/(abc){(a)/(x)+(b)/(y)+(c)/(z)}=

Tangents are parallel to 3-sides are drawn to the incirlee. If x, y, z are lengths of the parts of the tangents with in the triangle then x/a + y/b + z/c =

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 z_1,z_2,z_3 are the vertices of a triangle then its centroid is

The perpendicular distance from the origin to the plane x + y + Z+3 =0 is

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

A plane is at a distance of 1 unit from the origin cuts the axes in A, B, C. If the centroid D (x, y, z) of triangle ABC satisfies x^(-2)+y^(-2)+z^(-2)=k find k.

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE EXERCISE
  1. If angle C = 90 ^(@) ," then " 2(r + R) =

    Text Solution

    |

  2. If r1 = r2 = r3 then triangle is

    Text Solution

    |

  3. if x,y,z are the distances of the vertices of Delta ABC from its...

    Text Solution

    |

  4. If the side of an equilateral triangle is 2sqrt3 then each of exrad...

    Text Solution

    |

  5. In an equilateral triangle ABC, P1 is length of altitude from A ...

    Text Solution

    |

  6. a( r r 1 +r2r3) =

    Text Solution

    |

  7. ( r1+ r2) (r2+r3) (r3+r1) =

    Text Solution

    |

  8. If I1 is the centre of the first escribed circle , then the value ...

    Text Solution

    |

  9. In Delta ABC , if 2R = r1 -r " then " angle A =

    Text Solution

    |

  10. In Delta ABC , if r1= 3 r2 = 10 , r3 = 15, then R =

    Text Solution

    |

  11. In Delta ABC , if r= 1 , r1 =2 r2 =3 , r3 = 6 then a=

    Text Solution

    |

  12. In Delta ABC, if r1= 3 , r2 = 10 , r3 =15 , then c=

    Text Solution

    |

  13. In Delta ABC, a= 26 , b= 30 cos "" C = (63)/( 65) , " then" r1:r2...

    Text Solution

    |

  14. In Delta ABC , (1)/(r^(2)) + (1)/( r1^(2)) +(1)/( r2^(2)) + (1)/(r3^(...

    Text Solution

    |

  15. In Delta ABC, r1 r2 =r r3 =

    Text Solution

    |

  16. In Delta ABC , if (1- (r1)/(r2)) (1- ( r1)/( r3)) = 2, then the tria...

    Text Solution

    |

  17. ( ( 1)/(r1) + (1)/(r2)) ((1)/(r2) +(1)/(r3))( (1)/(r3)+(1)/(r1)) =

    Text Solution

    |

  18. Which of the following statement is true : Statement -I : In Delt...

    Text Solution

    |

  19. If a= 30, b = 18, c = 24 then the descending order of r1, r2,r3 ...

    Text Solution

    |

  20. If a = 18, b=24, c= 30 and if l = r2- r1 , m = r3 - r2 , n= r3 - r1 ...

    Text Solution

    |