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KVPY SA Exam 19-Nov-2017 Question Paper
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© examsnet.com
Question : 1
Total: 80
Part - II
Mathematics
Suppose BC is a given line segment in the plane and T is a scalene triangle. The number of points A in the plane such that the triangle with vertices A,B,C (in some order) is similar to triangle T is
4
6
12
24
Validate
Solution:
Let triangle T is DEF possibilities
∴ A can take two positions if ∆ABC ∼ ∆DEF
We can arrange order of A, B, C in 3 ! = 6 ways
Total positions which A can take = 6 × 2 = 12
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