The point of intersection of lines represented by `x^(2)-y^(2)+x+3y-2=0` is

Options

A. (1,0)
B. (0,2)
C. `(-(1)/(3),(3)/(2))`
D. `((1)/(2),(1)/(2))`

Answer

C

Explanation

We know that point off intersection of lines represented by
`ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` is `((hf-bg)/(ab-h^(2)),(hg-af)/(ab-h^(2)))`.
`therefore` Point of intersection of lines represented by
`x^(2)-y^(2)+x+3y-2=0` is `(-(1)/(2),(3)/(2))`
where, `a=1,b=-1,c=-2,h=0`,
`g=(1)/(2) and f=(3)/(2)`