Home
Class 11
MATHS
If the origin is the centroid of the tri...

If the origin is the centroid of the triangle PQR with vertices `P (2a,4,6) Q (-4,3b,-10) and R (8,14,2c)` then find the values of a , b , c .

Text Solution

Verified by Experts

The correct Answer is:
2
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PU EDU.DEPT.MODEL QUESTION PAPER (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise PART - C ( III. Answer any EIGHT of following questions)|30 Videos
  • PU EDU.DEPT.MODEL QUESTION PAPER (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise PART - D ( IV. Answer any FOUR questions)|12 Videos
  • PU EDU.DEPT.MODEL QUESTION PAPER (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise PART - E ( V. Answer any ONE questions)|8 Videos
  • PROBABILITY

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTION WITH ANSWER|20 Videos
  • PUE WEBSITE MODEL QUESTION PAPER - 8

    SUBHASH PUBLICATION|Exercise Part-E|4 Videos

Similar Questions

Explore conceptually related problems

If the origin is the centroid of the triangle PQR with vertices P(2a,2,6) Q(-4,3b,-10) and R(8,14,2c) then find the values of a ,b and c

Find k if the centroid of the triangle whose vertices are (2,k) , (-5,2) and (3, 4) is (0,-2) .

Knowledge Check

  • The centroid of the triangle ABC where A= (2,3), B= (8,10) and C= (5,5) is

    A
    (6,6)
    B
    (15,18)
    C
    (5,6)
    D
    (6,5)
  • The centroid of the triangle is (2,7) and two of its vertices are (4,8) and (-2,6) and third vertex is

    A
    (0,0)
    B
    (4,7)
    C
    (7,4)
    D
    (7,7)
  • Similar Questions

    Explore conceptually related problems

    Find the centroid of the triangle whose vertices are (3,6,5) (6,2,7) and (3,2,9)

    Find the centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2).

    Find the coordinates of centroid of the triangle with vertices: (6, 2), (0, 0) and (4, -7)

    In a triangle ABC with vertices A(2,3) , B (4,-1) and C (1,2) . Find the length of the altitude from the vertex A .

    Using vectors, find the area of the triangle with vertices are A(1,2,3), B(2, -1, 4) and C(4,5,-1).

    In the triangle ABC with vertices A (2, 3) , B (4, -1) " and " C (1, 2) , find the equation and length of altitude from the vertex A.