Question

Q1-In ΔABC, the points B and C are (−3,1) and (0,−2) respectively. If the centroid of this triangle is the origin, then the coordinates of A are

Q2-The point which divides A(0, 1) and B(3, -1) externally in the ratio 3 : 1 is

Answer 1

Answer:

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Answer 2

Given : In ΔABC, the points B and C are (−3,1) and (0,−2) respectively.  

the centroid of this triangle is the origin,

To Find : the coordinates of A

Solution:

Let say coordinate of A = ( h , k)

A = ( h , k)  ,  B (−3,1)  , C  (0,−2)

Hence centroid is given by :

( h - 3 + 0)/3 , ( k + 1  - 2)/3

Centroid is at origin ( 0 , 0)

(h - 3 + 0 )/3 = 0

=> h - 3 = 0

=> h = 3

(k + 1 - 2)/3 = 0

=> k - 1 = 0

=> k = 1

Hence coordinates of A = ( 3 , 1)

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