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TS EAMCET · Maths · Functions

Let x be a real number. Match the following:

  1. A IV III II V
  2. B IV V II III
  3. C IV III V II
  4. D III V IV I
Verified Solution

Answer & Solution

Correct Answer

(C) IV III V II

Step-by-step Solution

Detailed explanation

From option (A) with equation \(2 x^2+4 x+5\). \(\begin{aligned} & \mathrm{P}(x)=2 x^2+4 x+5 \\ & =2\left(x^2+2 x+1-1\right)+5=2(x+1)^2+3 \end{aligned}\) Polynomial \(\mathrm{P}(x)\) has maximum value when term \((x+1)\) becomes 0 . Then the maximum will be 3 . So, (A)…