Question

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

Solution

Correct option is

Two of them are coincident and two of them are perpendicular

 

We have,  

        

  

    

Clearly, two of the three lines represented by the given equation are coincident and two are perpendicular.

SIMILAR QUESTIONS

Q1

The equation of two straight lines through the point (x1y1) and perpendicular to the lines given by 

Q2

The equation of the straight lines through the point (x1y1) and parallel to the lines given by 

Q3

The triangle formed by the lines whose combined equation is  

Q4

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by 

Q5

The equation x3 + ax2y + bxy2 + y3 = 0 represents three straight lines, two of which are perpendicular, then the equation of the third line is  

Q6

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   

Q7

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

Q8

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

Q9

If the equation  represents two pairs of perpendicular lines, then

Q10

 

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