JEE Main 2014 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2014

A number x is chosen at random from the set . Define the event: A = the chosen number x satisfies . Then P(A) is:

Answer: (1)

Solution

The critical points are 10, 30 and 50, with x = 30 excluded. Checking the sign in each interval, the expression is non-negative on and on .

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Question ID VK-104614