If a plane meets the equations axes at A...

If a plane meets the equations axes at `A ,Ba n dC` such that the centroid of the triangle is `(1,2,4),` then find the equation of the plane.

Topper's Solved these Questions

THEORY OF EQUATIONS
CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
THREE-DIMENSIONAL GEOMETRY
CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

A plane meets the coordinate axes at A ,Ba n dC respectively such that the centroid of triangle A B C is (1,-2,3)dot Find the equation of the plane.

A plane meets the coordinates axes in A, B, C such that the centroid of the triangle ABC is the point (a,a,a) .Then the equation of the plane is x+y+z=p , where p is ___

If a plane meets the coordinates axes at A, Band C, in such a way that the centroid of Delta ABC is at the point (1,2,3) , the equation of the plane is

A plane meets the coordinate axes at A, B and C respectively such that the centroid of triangle ABC is (p, q, r). The equation of the plane is

A plane meets the coordinate axes at P, Q and R such that the centroid of the triangle is (3,3,3). The equation of he plane is (A) x+y+z=9 (B) x+y+z=1 (C) x+y+z=3 (D) 3x+3y+3z=1

A plane meets the coordinate axes in A ,B ,C such that the centroid of triangle A B C is the point (p ,q ,r)dot Show that the equation of the plane is x/p+y/q+z/r=3.

A plane meets the coordinate axes at A ,\ B ,\ C such that the centroid of "Delta A B C is the point (a ,\ b ,\ c) . If the equation of the plane is x/a+y/b+z/c=k ,\ t h e n\ k= 1 b. 2 c. 3 d. none of these

A plane meets the coordinate axes in A,B,C such that the centroid of triangle ABC is the point (p,q,r) . If the equation of the plane is x/p+y/q+z/r=k then k=

A plane cuts the co-ordinate axes at A, B and C respectively. If the centroid of DeltaABC is (2,-3,4) , find the equation of the plane.

A plane intersects three co-ordinate axes at the points A, B, C. If (1, -2, 3) is the centroid of the DeltaABC then find the equation of the plane.

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions

Find the equation of the plane passing through the points (-1,1,1) ...
Text Solution
|
Find ten equation of the plane passing through the point (0,7,-7) and ...
Text Solution
|
If a plane meets the equations axes at A ,Ba n dC such that the centro...
Text Solution
|
Find the equation of the plane which is parallel to the lines vec ...
Text Solution
|
Show that the plane whose vector equation is vec rdot( hat i+2 hat j=...
Text Solution
|
Find the vector equation of the following planes in Cartesian form:...
Text Solution
|
Show that the line of intersection of the planes vec rdot( hat i+2...
Text Solution
|
Find the equation of the plane passing through A(2,2,-1),B(3,4, 2) ...
Text Solution
|
Find the equation of the plane such that image of point (1,2,3) in ...
Text Solution
|
The foot of the perpendicular drawn from the origin to a plane is (...
Text Solution
|
Find the angel between the planes 2x+y-2z+3=0a n d vec rdot(6 hat i+...
Text Solution
|
Find the equation of the plane passing through (3,4,-1), which is p...
Text Solution
|
Find the distance of the point (-1,-5,-10) from the point of int...
Text Solution
|
Find the equation of the plane passing through the point (-1,3,2) an...
Text Solution
|
Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...
Text Solution
|
Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and t...
Text Solution
|
The extremities of a diameter of a sphere lie on the positive y- an...
Text Solution
|
A plane passes through a fixed point (a ,b ,c)dot Show that the loc...
Text Solution
|
Find the radius of the circular section of the sphere | vec r|=5 by...
Text Solution
|
A point P(x ,y ,z) is such that 3P A=2P B , where Aa n dB are the p...
Text Solution
|