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Last Updated On 16-03-2023 - By Jeesha Sara

The vertices of a family of triangles have integer coordinates. If two of the vertices of all the triangles are (0, 0) and (6, 8), then the least value of areas of the triangles is

a)

1

b)

c)

2

d)

Question ID - 50347 :-

The vertices of a family of triangles have integer coordinates. If two of the vertices of all the triangles are (0, 0) and (6, 8), then the least value of areas of the triangles is

a)

1

b)

c)

2

d)

1 Answer
5876 Votes
3537
Answer Key : (a) -

(a)

Let the third vertex be

  Area of

As   are integers, so we take

(0, 0), (1, 1), (1, 2)

At , it is not possible

At

At

Here, we see that minimum area is 1


Next Question :

In a  is equal to

a)

b)

c)

d)


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