state gov UPSSSC PET Mock Test Series 2025 (New) Quantitative Aptitude Number System Square and Square Root
If a = \(\frac{\sqrt{5}+1}{\sqrt{5}−1}\) and b = \(\frac{\sqrt{5}−1}{\sqrt{5}+1}\), then \(\frac{1+\frac{b}{a}+\frac{b^{2}}{a^{2}}}{1−\frac{b}{a}+\frac{b^{2}}{a^{2}}}\) equals :
1
\(\frac{5}{4}\)
2
\(\frac{7}{3}\)
3
\(\frac{4}{3}\)
4
1
5
None of the above