If Two Pairs Of Straight Lines Having Equations   have One Line Common Then a =

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Question

 

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

Solution

Correct option is

 

We have,  

         

.  

If y = 3x is a common, line then  

                                                                   

  

If y = –4is a common line, then  

                                                         

.

Testing

SIMILAR QUESTIONS

Q1

The equation x3 + ax2y + bxy2 + y3 = 0 represents three straight lines, two of which are perpendicular, then the equation of the third line is  

Q2

The combined equation of the lines L1 and L2 is 2x2 + 6xy + y2 = 0 and that of the lines L3 and L4 is 4x2 + 18xy + y= 0. If the angle between L1and L4 be α, then the angle between L2 and L3 will be   

Q3

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

Q4

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

Q5

If the equation  represents two pairs of perpendicular lines, then

Q6

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

Q7

 

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

Q8

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

Q9

 

The line y = mx bisects the angle between the lines

 , if

Q10

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