Question

 

The line y = mx bisects the angle between the lines

 , if

Solution

Correct option is

 

The combined equation of the bisectors of the angles between the lines given by ax2 + 2hxy + by2 = is         

         

It is given that y = mx is one of the lines given by this equation. 

Therefore,  

                

SIMILAR QUESTIONS

Q1

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by 

Q2

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

Q3

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   

Q4

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

Q5

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

Q6

If the equation  represents two pairs of perpendicular lines, then

Q7

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

Q8

 

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

Q9

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

Q10

 

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