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

Question:

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. $\frac{3}{2} x^{2}$

  2. $\sqrt{\frac{x^{3}}{8}}$

  3. $\frac{1}{2} x^{2}$

  4. $\pi x^{2}$


Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year 2006

Solution:

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