If sin x + x ≥ |k| x^2 , ∀ x ∊ [0,\pi/2] , then the greatest value of k is

JEE Advanced Model Paper 15 with solutions for online practice

Passage-3

If a function (continuous and twice differentiable) is always concave upward in an interval, then its graph lies always below the segment joining extremities of the graph in that interval and vice-versa.

Question : 53 of 60

Marks: +1, -0

If sin x + x ≥ |k| x2 , ∀ x ∊ [0,

] , then the greatest value of k is

−2(2+π)
π2
2(2+π)
π2
can’t be determined finitely
0

Validate

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