Teaching EMRS TGT Mock Test 2023 Mathematics Quadratic Equations

यदि α और β समीकरण x2 - x +1 = 0 के भिन्न मूल हैं, तो \(\left|\frac{\alpha^{100}+\beta^{100}}{\alpha^{100}-\beta^{100}}\right|\) का मान क्‍या है?

1
√3
2
√2
3
1
4
\(\frac{1}{\sqrt 3}\)
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