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Question
Answer the following question:
Show that the following points are collinear by determinant:
L(2,5), M(5,7), N(8,9)
Solution
Given : L(2,5), M(5,7), N(8,9)
∴ area of ΔLMN = `1/2|(2, 5, 1),(5, 7, 1),(8, 9, 1)|`
= `1/2[2(7 - 9) - 5(5 - 8) + 1(45 - 56)]`
= `1/2[2(-2) -5(-3) + 1(-11)]`
= `1/2(-4 + 15 - 11)` = 0
∴ L, M, N are collinear.
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