Mathematics

Problem

a_1, a_2, a_3 \dots

and

b_1, b_2, b_3 \dots

are in A.P., and

a_1 = 2

a_{10} = 3

a_1 b_1 = 1 = a_{10} b_{10}

, then

a_4 b_4

is equal to (a)

\frac{35}{27}

(b) 1 (c)

\frac{27}{28}

(d)

\frac{28}{27}