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)
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 | SaraNextGen Answer
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)
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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 |
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a) |
1 |
b) |
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c) |
2 |
d) |
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1 Answer - 5876 Votes
3537
Answer Key : (a) -
Answer Link(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
