## Question

The point of intersection of the The Pair of Straight Lines given by

### Solution

(–1, 1)

Let . Then, the point of intersection of the pair of lines given by *f* = 0 is obtained by solving simultanously.

Now,

.

Hence, the required point of intersection is (–1, 1).

#### SIMILAR QUESTIONS

The combined equation of the lines *L*_{1} and *L*_{2} is 2*x*^{2} + 6*xy* + *y*^{2} = 0 and that of the lines *L*_{3} and *L*_{4} is 4*x*^{2} + 18*xy* + *y*^{2 }= 0. If the angle between *L*_{1}and *L*_{4} be α, then the angle between *L*_{2} and *L*_{3} will be

The lines represented by and the lines represented by are equally inclined then

The equation represents three straight lines passing through the origin such that

If the equation represents two pairs of perpendicular lines, then

The equation represents three straight lines passing through the origin such that

If one of the lines represented by the equation is a bisector of the angle between the lines*xy* = 0, then λ =

If θ is the angle between the straight lines given by the equation , then cosec^{2} θ =

The line *y* = *mx* bisects the angle between the lines

, if

If two pairs of straight lines having equations have one line common then *a* =

The square of the distance between the origin and the point of intersection of the lines given by