Home
Class 12
MATHS
The centroid of the triangle formed by (...

The centroid of the triangle formed by (0, 0, 0) and the point of intersection of `(x-1)/x=(y-1)/2=(z-1)/1` with `x=0` and `y=0` is

A

(1,1,1)

B

`(1//6,-1//3,1//6)`

C

`(-1//6,1//3,-1//6)`

D

`(1//3,1//3,1//3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Any point on the given line is `k+1,2k+1,k+1`
but `x=0 rArr A=-(0,-1,0)`
and y=0 `rArr B-=(1//2,0,1//2)`
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CENGAGE ENGLISH|Exercise Single Correct Answer Type|49 Videos

  • EQUATION OF PLANE AND ITS APPLICATIONS -I

    CENGAGE ENGLISH|Exercise DPP 3.3|22 Videos

Similar Questions

Explore conceptually related problems

The circumcentre of the triangle formed by lines x=0,y=0 and x+y-1=0 is

Let C be the centroid of the triangle with vertices (3, -1) (1, 3) and ( 2, 4). Let P be the point of intersection of the lines x+3y-1=0 and 3x-y+1=0 . Then the line passing through the points C and P also passes through the point :

The orthocentre of triangle formed by lines x+y-1=0, 2x+y-1=0 and y=0 is (h, k), then (1)/(k^(2))=

The equation of the plane which passes through the point of intersection of lines ""(x-1)/3=(y-2)/1=(z-3)/2"","and"(x-3)/1=(y-1)/2=(z-2)/3 and at greatest distance from point (0,0,0) is a. 4x+3y+5z=25 b. 4x+3y=5z=50 c. 3x+4y+5z=49 d. x+7y-5z=2

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

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (1/2,1/2) (b) (1/3,1/3) (0,0) (d) (1/4,1/4)

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)

Find the equation of the straight line passing through the point of intersection of intersection of 2x+y−1=0 and x+3y−2=0 and making with the coordinate axes a triangle of area 3/8 sq.units.

Find an equation for the plane through P_(0)=(1, 0, 1) and passing through the line of intersection of the planes x +y - 2z = 1 and x + 3y - z = 4 .

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is