The function $f(x) = {(x - 3)^2}$ satisfies all the conditions of mean value theorem in $[3, 4].$ A point on $y = {(x - 3)^2}$, where the tangent is parallel to the chord joining $ (3, 0)$ and $(4, 1)$ is
The function $f(x) = {(x - 3)^2}$ satisfies all the conditions of mean value theorem in $[3, 4].$ A point on $y = {(x - 3)^2}$, where the tangent is parallel to the chord joining $ (3, 0)$ and $(4, 1)$ is
- A
$\left( {{7 \over 2},{1 \over 2}} \right)$
- B
$\left( {{7 \over 2},{1 \over 4}} \right)$
- C
$(1, 4)$
- D
$(4, 1)$
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