Theory Of Equations Ques 30

  1. 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: 30.(a)

Solution:

  1. 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.



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