Let X= (x, y) Z Z : x^ 2 8 + y^ 2 20 Three distinct points P , Q and R are randomly…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability

Let \(X=\left\{(x, y) \in \mathbb{Z} \times \mathbb{Z}: \frac{x^{2}}{8}+\frac{y^{2}}{20}<1 \text { and } y^{2}<5 x\right\} .\)
Three distinct points P, Q and R are randomly chosen from X . Then the probability that P, Q and R form a triangle whose area is a positive integer, is

Answer

(B)

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