If The Pair Of Lines Represented By   intersect On Y-axis, Then  

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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

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Q5

 

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Q6

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Q7

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Q8

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Q9

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Q10

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