Question

 

If the pair of lines represented by   intersect on y-axis, then  

Solution

Correct option is

 

The given equation represents a The Pair of Straight Lines.  

   

The coordinates of the point of intersection are obtained by solving   

          

Since the point of intersection lies on y-axis. Therefore,  

           

   

The y-coordinates of the point of intersection of the lines with y-axis are the roots of the equation   

        

This equation must have equal roots.   

   

From (ii), we have   

        

  

  

    

  

Thus, we have     

      

SIMILAR QUESTIONS

Q1

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

Q2

 

The line y = mx bisects the angle between the lines

 , if

Q3

 

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

Q4

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

Q5

 

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

           

Q6

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

Q7

If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point

Q8

The angle between the straight lines joining the origin to the points of intersection of  and 3x – 2y = 1 is

Q9

All chords of the curve  which subtend a right angle at the origin always pass through the point

Q10

If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of 45oat the major segment of the circle, then m =