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Consider the following statements: Statement 1: The greatest possible number of intersection points formed by 8 circles of the same radius is 56. Statement 2: The greatest possible number of points of intersection obtained when 4 circles of different radii and 4 distinct straight lines are drawn is 50.

1. Statement 1 is correct, Statement 2 is correct, and Statement 2 correctly explains Statement 1
2. Statement 1 is correct, Statement 2 is correct, but Statement 2 does not correctly explain Statement 1
3. Statement 1 is incorrect, Statement 2 is correct
4. Statement 1 is correct, Statement 2 is incorrect

Correct answer: Statement 1 is correct, Statement 2 is incorrect

Solution

Statement 1 is correct because 8 circles can intersect at most 56 times, as each pair of circles can intersect at 2 points. However, Statement 2 is incorrect because the maximum number of intersection points from 4 circles and 4 lines is actually 36, not 50.

Related JEE Main Maths questions

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