Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The area of a triangle is 
square units. Two of its vertices are the points A(2, –3) and B(3, –2), the centroid of the triangle lies on the line 3x – y – 2 = 0, then thrird vertex C is
A
(–2, 5)
B
(–8, –10)
C
D
(–11, –19)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, d)
centroid is 
Put in 3x–y –2 = 0, 
3h – k + 14 = 0 (1)
Also given area = 3/2 ∴ 
⇒ h – k = 2 or h – k = 8
solving with (1) we get required answer
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