A square is inscribed in a circle. If p 1 is the probability that a randomly chosen point…
Mathematics · JEE Main · NTA Exams — Statistics and Probability
A square is inscribed in a circle. If p1 is the probability that a randomly chosen point of the circle lies within the square and p2 is the probability that the point lies outside the square then
- \(\mathrm{p}_{1}=\mathrm{p}_{2}\)
- \(\mathrm{p}_{1}>\mathrm{p}_{2} \text { and } \mathrm{p}_{1}^{2}-\mathrm{p}_{2}^{2}<\frac{1}{3}\)
- \(\mathrm{p}_{1}<\mathrm{p}_{2}\)
- none of these
Answer
(B) p _ 1 > p _ 2 and p _ 1 ^ 2 - p _ 2 ^ 2 < 1 3
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