Question

Assertion (A): If f(x) = |x|, then f has minimum value at x = 0
Reason (R): A function f(x) has minimum value at x = a if $f^{\prime }\left(a\right)=0$ and $f^{\prime \prime }\left(a\right)>0$

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true and R is not the correct explanation of A
• C. A is true and R is false
• D. A is false and R is true

Answer 1

The correct option is B Both A and R are true and R is not the correct explanation of A

$f\left(x\right)$ has minimum value at $x=0$
$f\left(x\right)$ is min at $x=a$
If $f^{\prime }\left(a\right)=0$ & $f^{\prime }\left(a\right)>0$
Condition to minimum value.