Question

 

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

           

Solution

Correct option is

 

  

The point of intersection of the lines given by

  is obtained by solving

          

   

The coordinates of the point of intersection are  

       

∴ Distance between the origin and the point P is given by   

        

              

                                                    

              

              

Hence,     

        

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

If the equation  represents two pairs of perpendicular lines, then

Q4

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

Q5

 

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

Q6

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

Q7

 

The line y = mx bisects the angle between the lines

 , if

Q8

 

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

Q9

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

Q10

The centroid of the triangle whose three sides are given by the combined equation