Question 73

If $$\frac{x}{y} = \frac{6}{5}$$, then find the value of $$\frac{x^2 + y^2}{x^2 - y^2}$$

Solution

$$\frac{x^2 + y^2}{x^2 - y^2}$$

Divide numerator and denominator by $$y^2$$ ,

=$$\frac{\frac{x^2}{y^2} + 1}{\frac{x^2}{y^2} - 1}$$

=$$\frac{\frac{36}{25} + 1}{\frac{36}{25} - 1}$$

=$$\frac{\frac{61}{25}}{\frac{11}{25}}$$

=$$\frac{61}{11}$$

So, the answer would be option b)$$\frac{61}{11}$$

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