Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
67.7k views
in Mathematics by (80.9k points)

A variable plane which remains at a constant distance 3p from the origin cuts the coordinate axis at A, B, C. Show that the locus of the centroid of triangle ABC is 1/x2 + 1/y2 + 1/z2 = 1/p2.

1 Answer

+2 votes
by (79.8k points)
selected by
 
Best answer

Equation of plane cutting intercepts (say, a, b, c) on the axes is

x/a + y/b + z/c = 1. with A(a,0,0), B(0,b,0) and C(0,0,c) distance of this plane from origin is

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...