The value of \( \Large (\frac{1}{x^{2}}) + (\frac{1}{y^{2}}) \), where \( \Large x = 2 + \sqrt{3} \) and \( \Large y = 2 - \sqrt{3} \), is
Correct Answer: Description for Correct answer:
\( \Large \frac{1}{x^{2}} + \frac{1}{y^{2}} = \frac{1}{(2 + \sqrt{3})^{2}} + \frac{1}{(2 - \sqrt{3})^{2}} \)
\( \Large = \frac{1}{7 + 4\sqrt{3}} + \frac{1}{7 - 4\sqrt{3}} \)
\( \Large = \frac{14}{49 - 16 \times 3} = 14 \)
Part of solved Aptitude questions and answers :
>> Aptitude