Theory of Equations 1 Question 32
33. The equation $x-\frac{2}{x-1}=1-\frac{2}{x-1}$ has
(a) no root
(b) one root
(c) two equal roots
(d) infinitely many roots
(1984, 2M)
Show Answer
Answer:
Correct Answer: 33. (a)
Solution:
- Given, $x-\frac{2}{x-1}=1-\frac{2}{x-1} \Rightarrow x=1$
But at $x=1$, the given equation is not defined.
Hence, no solution exist.
