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TS EAMCET · Maths · Application of Derivatives

If the extreme value of 3x-2x2+1 is k then the set of all real values of x for which kx2+2x+1>0 is

  1. A 12,1
  2. B -,121,
  3. C -,
  4. D -,178
Verified Solution

Answer & Solution

Correct Answer

(C) -,

Step-by-step Solution

Detailed explanation

Let fx=3x-2x2+1 Differentiating both sides w.r.t. x, we get f'x=3-4x For extreme value, f'x=0 ⇒ 3-4x=0 ⇒ x=34 So, f34=k ⇒ 3×34-2×916+1=k ⇒ 36-18+16=k ⇒ k=34 So,…
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