Home
Class 12
MATHS
The plane ax + by + cz = 1 meets the coo...

The plane `ax + by + cz = 1` meets the coordinate axes in `A, B, C`.
The centroid of `DeltaABC` is

A

(a) `((a)/(3),(b)/(3),(c )/(3))`

B

(b) `((3)/(a),(3)/(b),(3)/(c ))`

C

(c) `((1)/(3a),(1)/(3b),(1)/(3c))`

D

(d) `(3a,3b,3c)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The plane (x)/(a)+(y)/(b)+(z)/(c )=3 meets the co-ordinate axes in A,B,C. The centroid of the triangle ABC is

A plane a constant distance p from the origin meets the coordinate axes in A, B, C. Locus of the centroid of the triangle ABC is

If plane 6x-3y+2z-18=0 meets co-ordinate axes at points A,B,C , then centroid of triangleABC is

A plane meets the co-ordinate axes at A,B,C such that the centroid of the triangle is (3,3,3) . The eqation of the plane is

A plane meets the co-ordinate axes at A,B,C and (alpha,beta,gamma) is the centroid of the triangle ABC. Then the equation of the plane is

A plane cuts the coordinate axes X,Y,Z at A,B,C respectively such that the centroid of the triangleABC is (6,6,3) . Then the equation of that plane is

A variable plane at a distance of 1 unit from the origin cuts the axes at A, B and C. If the centroid D(x, y, z) of triangleABC satisfies the relation (1)/(x^2)+(1)/(y^2)+(1)/(z^2)=K, then the value of K is

If the line px-qy=r intersects the coordinate axes at (a,0) and (0,b), then the value of a+b is equal to

The projection of a line segment on the coordinate axes are 2,3,6. Then the length of the line segment is

IF for a plane the intercepts on the coordinate axes are 8,4,4 then the length of the perpendicular from the origin on to the plane is