Home
Class 12
MATHS
In triangle ABC the mid point of the sid...

In triangle ABC the mid point of the sides AB, BC and AC respectively (l, 0, 0), (0, m, 0) and (0, 0, n). Then, `(AB^2+BC^2+CA^2)/(l^2+m^+n^2)` is equal to

A

`2`

B

`4`

C

`8`

D

`16`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|36 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC the mid points of the sides AB,BC ,BC C and CA are (l,0,0),(0,m,0) and (0,0,n) respectively.Then,(AB^(2)+BC^(2)+CA^(2))/(l^(2)+m^(2)+n^(2)) is equal to

Let ABC be a triangle with equations of the sides AB,BC and CA respectively x-2=0,y-5=0 and 5x+2y-10=0 Then the orthocentre of the triangle lies on the line

Consider a triangle PQR, whose centroid is G Let L, M, N be the mid point of sides QR, RP, PQ respectively and co-ordinates of L, M, N are L (3a, 0, 0) M (0,3b, 0) N(0, 0, 3c) then the area of triangle GQR

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

    Text Solution

    |

  2. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |

  3. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

    Text Solution

    |

  4. The angle between the lines whose directionn cosines are given by 2l-m...

    Text Solution

    |

  5. A line makes an angle theta both with x-axis and y-axis. A possible ra...

    Text Solution

    |

  6. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

    Text Solution

    |

  7. Find the perpendicular distance of a corner of a unit cube from a dia...

    Text Solution

    |

  8. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

    Text Solution

    |

  9. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

    Text Solution

    |

  10. A parallelepiped is formed by planes drawn parallel to coordinate axes...

    Text Solution

    |

  11. Let bar a,bar b,bar c be three non-coplanar vectors and bar d be a no...

    Text Solution

    |

  12. If alpha(atimesb)+beta(btimesc)+gamma(ctimesa)=0, then

    Text Solution

    |

  13. Let area of faces triangleOAB=lambda1, triangleOAC=lambda2, triangleOB...

    Text Solution

    |

  14. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

    Text Solution

    |

  15. The shortest distance between a diagonal of a unit cube and the edge s...

    Text Solution

    |

  16. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  17. The length of the edge of the regular tetradedron ABCD is 'a'. Points ...

    Text Solution

    |

  18. If the two adjacent sides of two rectangles are represented by vect...

    Text Solution

    |

  19. Let veca,vec b,vec c are three vectors along the adjacent edges ofa t...

    Text Solution

    |

  20. The angle theta between two non-zero vectors a and b satisfies the rel...

    Text Solution

    |