Question

The lines represented by the equation `x^2-y^2-x+3y-2=0` are
A. (1,0)
B. (0,2)
C. `(-(1)/(2),(3)/(2))`
D. `((1)/(2),(1)/(2))`

Answer 1

Correct Answer - C
We know that point of 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)))`
`:.` 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) `