Question

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

Solution

Correct option is

 

We know that the equations of the lines passing through the origin and perpendicular to the lines given by

   

Now, shifting the origin at (x1y1), the equations of the required lines are    

       

SIMILAR QUESTIONS

Q1

The equation x3 + y3 = 0 represents

Q2

 

One bisector of the angle between the lines given by

 . The equation of the other bisector is

Q3

The equation  represents two mutually perpendicular lines if

Q4

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

Q5

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

Q6

 

The angle between the pair of lines whose equation is

 

Q7

 

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

Q8

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

Q9

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  

Q10

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