Question

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

Solution

Correct option is

They are equally inclined to one another

 

Let y = mx be one of the lines represented by the given equation. Then, ymx satisfies it.    

  

  

  

  

   

  

Hence the given equation represents three lines passing through the origin such that they are equally inclined with one another.

SIMILAR QUESTIONS

Q1

The orthocentre of the triangle formed by the pair of lines  and the line x + y + 1 = 0 is 

Q2

If the distance of a point (x1y1) from each of the two straight lines, which pass through the origin of coordinates, is δ, then the two lines are given by  

Q3

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

Q4

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

Q5

The triangle formed by the lines whose combined equation is  

Q6

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

Q7

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

Q8

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   

Q9

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

Q10

If the equation  represents two pairs of perpendicular lines, then