Question

9th class questions chapter 1 number system ​

Answer 1

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