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
0 votes
251 views
in Coordinate Geometry by (28.9k points)
closed by
Find the third vertex of a triangle, if two of its vertices are at (-3, 1) and (0, -2) and the centroid is at the origin.

1 Answer

+1 vote
by (30.2k points)
selected by
 
Best answer

Let the vertex of the triangle be A(1, 2), B(3, 5) and C(x, y) 

Let the centroid be G(0, 0), as it is given that centroid is given at origin.

We know that centroid of a triangle for (x1 , y1), (x2 , y2) and (x3 , y3) is 

G(x, y) = \( (\frac{x_1+x_2+x_3}3,\frac{y_1+y_2+y_3}3)\)

For given coordinates A(1, 2), B(3, 5) and C(x, y), centroid is,

(0, 0) = \( (\frac{-3+0+x}3,\frac{1-2+y}3)\)

Solving for x and y, 

-3 +x =0 and -1 + y = 0 

∴ x = 3 and y = 1 

Hence, 

the coordinate of third vertex is C(3, 1).

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

...