Question

Asserion (A):$f(x)=|x-a|+|x-b|$, is continous on $R$
Reason(R): $\frac{|x-\alpha |}{x-\alpha }0$ is continuous at $x\in R-\{\alpha \}$

• A. (A) is true, (R) is true and (R) is the correct explanation for A
• B. (A) is true, (R) is true but (R) is not the correct explanation for A
• C. (A) is true but (R) is false
• D. (A) is false but (R) is true

Answer 1

Answer: (B)

The function $f(x)=|x-a|+|x-b|$ is continuous on $R$
The function $\frac{|x-\alpha |}{x-\alpha }$ is continuous at $x\in R-\{\alpha \}$