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Question

Question: If \(\overset{\rightarrow}{AO} + \overset{\rightarrow}{OB} = \overset{\rightarrow}{BO} + \overset{\r...

If AO+OB=BO+OC,\overset{\rightarrow}{AO} + \overset{\rightarrow}{OB} = \overset{\rightarrow}{BO} + \overset{\rightarrow}{OC}, then A, B, C form

A

Equilateral triangle

B

Right angled triangle

C

Isosceles triangle

D

Line

Answer

Isosceles triangle

Explanation

Solution

AB=BC\overset{\rightarrow}{AB} = \overset{\rightarrow}{BC} (as given). Hence it is an isosceles triangle.