wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A plane makes intercepts a,b,c at A,B,C on the coordinates axes, respectively. If the centroid of ABC is at (3,2,1), then the equation of the plane is


A

x+2y+3z=9

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

2x3y6z=18

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

2x+3y+6z=18

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

2x+y+6z=18

No worries! We‘ve got your back. Try BYJU‘S free classes today!
E

2x+3y+6z=9

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

2x+3y+6z=18


Explanation for the correct option:

Step 1: Find the coordinates of A,B,C.

As A,B,C are the intersection of planes.

So, Coordinates of A,B,C will (a,0,0),(0,b,0),(0,0,c).

Centroid of ABC is (3,2,1)

So, a=9,b=6 and c=3.

Step 2: Find the equation of the plane:

Use the obtained points to get the equation of the plane.

x9+y6+z3=12x+3y+6z=18

Hence, option (C) is the correct answer.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Equation of Line perpendicular to a given Line
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon