Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A plane meets the coordinate axes in A, B, C such that the centroid of Δ ABC is the point (p, q, r). The equation of the plane is -
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Equation of the plane be 
+ 
+ 
= 1
Then coordinates of A, B, C are (a, 0, 0), (0, b, 0), (0, 0, c). So the centroid of the triangle ABC is 
The coordinates of centroid given (p, q, r)
a = 3p b = 3q c = 3r
So the equation of the required plane is
= 1
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The equation of the plane passing through the points and perpendicular to planes
and , is . Fin…
The value of such that lies in the plane , is
The distance of the point (2, 1, –1) from the plane is
The perpendicular distance from origin to the plane through the point (2, 3, –1) and perpendicular …
The reflection of the point (2, –1, 3) in the plane is
The equation of the plane containing the line
is a(x – α α ) + b(y – β β ) + c(z – γ γ ) = 0, wher…