A plane meets the coordinate axes at `A,B,C` so that the centroid of the triangle `DeltaABC` is `(1,2,4)`. Then the equa

Ask a Question


Question Asked by a Student from EXXAMM.com Team


Q 1113167940.     A plane meets the coordinate axes at `A,B,C` so that the centroid of the triangle `DeltaABC` is `(1,2,4)`. Then the equation of the plane is :
EAMCET 2010
A

`x+2y+4z=12`

B

`4x+2y+z=12`

C

`x+2y+4z=3`

D

`4x+2y+z=3`

HINT

The given centroid coordinates are `C(x_0,y_0,z_0) = (1,2,4)` The equation of the plane is `:(x/a)+(y/b)+(z/c) = 1` The intercepts `a=3x_0 ; b=3y_0 ; c=3z_0` accordingly ,

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

Find instant solution to any question from our database of 1.5 Lakh + Questions

 


Access free resources including

  • 100% free video lectures with detailed notes and examples
  • Previous Year Papers
  • Mock Tests
  • Practices question categorized in topics and 4 levels with detailed solutions
  • Syllabus & Pattern Analysis

Engineering


Medical


Banking


DEFENCE


SSC


RRB


CBSE-NCERT


OLYMPIAD