CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Algebra
If $\frac{a}{b} + \frac{b}{a} = 1$ and a + b = 2 , then the value of a3 + b3 is:
0
3
1
2
If $\frac{a}{b} + \frac{b}{a} = 1$
\(\frac{a^2 + b^2}{ab}\) = 1
a2 + b2 = ab
a3 + b3 = ( a + b ) ( a2 + b2 - ab )
a3 + b3 = 2 ( 1- 1 )
a3 + b3 = 0