Question

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

Solution

Correct option is

 

If the lines given by the two equations are equally inclined then they have the same bisectors. Therefore, equations

   

.    

                                                   represent the same pair of lines 

SIMILAR QUESTIONS

Q1

 

If two of the straight lines represented by   are at right angles, then,

Q2

The orthocentre of the triangle formed by the pair of lines  and the line x + y + 1 = 0 is 

Q3

If the distance of a point (x1y1) from each of the two straight lines, which pass through the origin of coordinates, is δ, then the two lines are given by  

Q4

The equation of two straight lines through the point (x1y1) and perpendicular to the lines given by 

Q5

The equation of the straight lines through the point (x1y1) and parallel to the lines given by 

Q6

The triangle formed by the lines whose combined equation is  

Q7

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

Q8

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

Q9

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   

Q10

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