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)/1=(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 AND HYPERBOLA

    CENGAGE|Exercise Question Bank|1 Videos

  • EQUATION OF PLANE AND ITS APPLICATIONS -I

    CENGAGE|Exercise DPP 3.3|22 Videos

Similar Questions

Explore conceptually related problems

The orthocenter of the triangle formed by the lines xy=0 and x+y=1 is

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

The line (x-x_1)/0=(y-y_1)/1=(z-z_1)/2 is

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

Find the points where line (x-1)/2=(y+2)/(-1)=z/1 intersects x y ,y z and z x planes.

Find the acute angle between the curves y=x^(2) and x=y^(2) at their points of intersection (0,0), (1,1) .

The foot of the perpendicular from A (1, 0, 0) to the line (x-1)/2=(y+1)/(-3)=(z+10)/8 is

The centroid of a triangle formed by the points (0,0), ( cos theta, sin theta ) and ( sin theta, -cos theta ) lies on the line y = 2x, then is

The orthocentre of a triangle formed by the lines x - 2y = 1, x = 0 and 2x + y - 2 = 0 is