GATE Papers >> ECE >> 2015 >> Question No 4

Question No. 4

Operators $\square,\Diamond\;\mathrm{and}\;\rightarrow$ are defined by $\mathrm a\square\mathrm b\;=\;\frac{\mathrm a-\mathrm b}{\mathrm a+\mathrm b};\;\mathrm a\Diamond\mathrm b\;=\frac{\mathrm a+\mathrm b}{\mathrm a-\mathrm b};\;\mathrm a\rightarrow\mathrm b=\mathrm{ab}$

Find the value of $(66\square6\;)\rightarrow(66\;\Diamond6)$