﻿ If at each point of the curve y = x3 – ax2 + x + 1 the tangents is inclined at an acute angle with the positive direction of the x-axis, a lies in the interval. : Kaysons Education

# If At Each Point Of The Curve y = x3 – ax2 + x + 1 The Tangents Is Inclined At An Acute Angle With The Positive Direction Of The x-axis, a lies In The Interval.

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## Question

### Solution

Correct option is

As, y = x3 – ax2 + x + 1

and the tangents is inclined at an acute angle with the positive direction ofx-axis,

{and we know, ax2 + bx + c ≥ 0 for all x Ïµ R ⇒ a > 0 and D ≤ 0}

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