Differentiation & Applications · JEE Main previous year questions

2006 2 questions

1. Q62006 · 29 Apr 2006 · Shift 1

   If $x$ is real, the maximum value of $\frac{3x^2+9x+17}{3x^2+9x+7}$ is

   1. A.$\frac{1}{4}$
   2. B.41
   3. C.1
   4. D.$\frac{17}{7}$
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   Answer: B

2. Q202006 · 29 Apr 2006 · Shift 1

   A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length $x$. The maximum area enclosed by the park is

   1. A.$\frac{3}{2}{x}^2$
   2. B.$\sqrt{\frac{x^3}{8}}$
   3. C.$\frac{1}{2}{x}^2$
   4. D.$\pi x^2$
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   Answer: C