Mathematics

Problem

In interval

[1, 2]

, the tangent to the curve

y = f(x) = x^3 - 6ax^2 + 5x

x = \frac{7}{4}

is parallel to the chord joining the points of intersection of the curve with the ordinates

x = 1

and

x = 2

, then the value of

a

is (a)

\frac{35}{16}

(b)

\frac{7}{16}

(c)

\frac{5}{16}

(d)

\frac{35}{48}