state gov UPSSSC PET Mock Test Series 2025 (New) Quantitative Aptitude Simplification Fractions

यदि \(\frac{\sqrt{13}-1}{\sqrt{13}+1}=a+b \sqrt{13}\) है, तो a और b के मान क्या हैं?

1
\(a=\frac{5}{6}, b=-\frac{1}{6} \)
2
a = 0, b = 0
3
\(a=\frac{1}{6}, b=-\frac{1}{6} \)
4
\(a=\frac{7}{6}, b=-\frac{\mathbf{1}}{6} \)
5
उपर्युक्त में से कोई नहीं
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