Study the following statements.
I. The vertex of the parabola `x=ly^(2)+my+n` is `(n-m^(2)/(4 l), -m/(2l))`
II. The focus of the parabola `y=l x^(2) +mx+n` is `(n+(1-m^(2))/(4l), -m/(2l))`
III. The pole of the line `lx+my+n=0` with respect to the parabola `x^(2)=4ay` is `(-(2 al)/m, n/m)`
Then the correct option among the following is

Options

A. A. All the three statement are true
B. B. Statement I & II are true but III is false
C. C. Statement I & III are true but II is false
D. D. Statement II & III are true but I is false

Answer

C