Home
Class 11
MATHS
The centroid of the triangle with vertic...

The centroid of the triangle with verticies A(1, 1, 1), B(2, 1, 2) and C(x, y, z) is O(0, 0, 0) then (x, y, z) = ______ .

A

(3, 2, 3)

B

(0, 0, 0)

C

(-3, -2, -3)

D

(1, -1, 1)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|13 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|17 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 12|6 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

  • LIMITS AND DERIVATIVES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for practice work|35 Videos

Similar Questions

Explore conceptually related problems

Centroid of the triangle with verticies P(1, -2, 1), Q(2, 3, -1) and R(1, -1, -1) is _____ .

Find the coordinates of the centroid of the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2))and(x_(3),y_(3),z_(3)) .

The production of item A is x and the production of item B is y. If the corner points of the bounded feasible region are (1, 0), (2, 0), (0, 2) and (0, 1) then the maximum profit z = 2000x + 5000y is ……..

If the coordinates (x, y, z) of the point S which is equidistant from the points O(0, 0, 0), A(n^(5), 0, 0), B(0, n^(4), 0), C(0, 0, n) obey the relation 2(x+y+z)+1=0 . If ninZ , then |n|= _____( |*| is the mudulus function).

Find the distance of the point (2, 1, 0) from the plane 2x + y + 2z + 5 = 0.

Find the equation of the plane through the intersection of the planes 3x – y + 2z – 4 = 0 and x + y + z- 2 = 0 and the point (2, 2, 1).

If bar(x)=(1,-1,0),bar(y)=(0,1,3) and bar(z)=(2,1,1) then bar(x)xx (bar(y)xx bar(z)) = ………….

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is