Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Co-ordinate Geometry

Question:

If A(2, 3), B(0, 6) and C(-5, 0) are the vertices of ΔABC, then find the coordinates of its centroid.

Options:

$\left(-\frac{3}{2},\frac{9}{2}\right)$

$\left(\frac{7}{2},3\right)$

$(1, 1)$

$(-1, 3)$

Correct Answer:

$(-1, 3)$

Explanation:

Centroid of triangle with vertices (a1,b1) , (a2,b2) & (a3,b3) are

( \(\frac{a1 + a2 + a3}{3}\) ,  \(\frac{b1 + b2 + b3}{3}\) )

So,

A = \(\frac{2 + 0 - 5}{3}\) 

= \(\frac{-3}{3}\)

= - 1

B = \(\frac{3 + 6 + 0}{3}\)

= \(\frac{9 }{3}\)

= 3

The correct answer is option (4) : $(-1, 3)$