Question

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

Solution

Correct option is

(–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

Q1

The combined equation of the lines L1 and L2 is 2x2 + 6xy + y2 = 0 and that of the lines L3 and L4 is 4x2 + 18xy + y= 0. If the angle between L1and L4 be α, then the angle between L2 and L3 will be   

Q2

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

Q3

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

Q4

If the equation  represents two pairs of perpendicular lines, then

Q5

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

Q6

 

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

Q7

If θ is the angle between the straight lines given by the equation , then cosec2 θ =

Q8

 

The line y = mx bisects the angle between the lines

 , if

Q9

 

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

Q10

 

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