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

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.

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}

  

  

  

Testing

SIMILAR QUESTIONS

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Q5

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Q6

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Q7

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Q8

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Q9

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Q10

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