Question

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  

Solution

Correct option is

 

The equation of a line passing through the origin is  

       

If it is at a distance δ from (x1y1), then  

         

  

SIMILAR QUESTIONS

Q1

The gradient of one of the lines given by  is twice that of the other, then

Q2

The equation x3 + y3 = 0 represents

Q3

 

One bisector of the angle between the lines given by

 . The equation of the other bisector is

Q4

The equation  represents two mutually perpendicular lines if

Q5

The product of the perpendiculars drawn from the point (1, 2) to be the pair of lines x2 + 4xy + y2 = 0 is

Q6

The three lines whose combined equation is y3 – 4x2y = 0 form a triangle which is

Q7

 

The angle between the pair of lines whose equation is

 

Q8

 

If two of the straight lines represented by   are at right angles, then,

Q9

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

Q10

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