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Find the number of integral values of lambda such that the point (lambda, lambda+1) is an interior point of triangle ABC, where A = (0,3), B = (-2,0), and C = (6,1).
- 1
- 2
- 3
- 4
Correct answer: 2
Solution
Setting up inequalities from each side of the triangle for the interior point (lambda, lambda+1): conditions give -6/7 < lambda < 3/2. The integer values satisfying this are lambda=0 and lambda=1, giving 2 integral values.
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