Vector Algebra Question 261

Question: If $ \overrightarrow{AO}+\overrightarrow{OB}=\overrightarrow{BO}+\overrightarrow{OC}, $ then A, B, C form

[IIT 1983]

Options:

A) Equilateral triangle

B) Right angled triangle

C) Isosceles triangle

D) Line

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \overrightarrow{AB}=\overrightarrow{BC} $ (as given). Hence it is an isosceles triangle.