If the angle between the straight lines represented by `2x^(2)+5xy+3y^(2)+7y+4=0` is `tan^(-1)m` then `[(1)/(pi m)]` is (where `[.]` denote greatest integer function)

Options

A. `0`
B. `1`
C. `2`
D. `3`

Answer

B

Explanation

If the angle ………..
`a = 2, b = 3, h = (5)/(2)`
`theta = tan^(-1)((2sqrt(h^(2)-ab))/(|a+b|))= tan^(-1) ((2sqrt((25)/(4)-6))/(2+3))`
`= tan^(-1)((1)/(5)) :. M = (1)/(5)`
`:. [(1)/(pim)] = [(5)/(3.14)] = [1.59] = 1`