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JEE Main 2019 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2019

If both the roots of the quadratic equation are real and distinct and they lie in the interval [1, 5], then m lies in the interval:

Answer: (A)

Solution

D > 0 ⇒ m > 4; f(1) ≥ 0, f(5) ≥ 0 ⇒ m ≤ 29/5; hence (4, 5) among the options.

Question ID VK-010013