JEE Advanced Mathematics question

Mathematics Application of Derivatives JEE Advanced

If at each point of the curve the tangent is inclined at an acute angle with the positive direction of the -axis then

(A)
(B)
(C)Correct
(D)none of these

Answer: (C)

Solution

. The tangent makes an acute angle with the positive -axis when its slope is positive, so we need for all . A quadratic with positive leading

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Question ID VK-109354