Question

If the equation  represents two pairs of perpendicular lines, then

Solution

Correct option is

 

Let  be two pairs of perpendicular lines given by the equation

 . Then,  

      

                                             

On equating the coefficients of like terms, we get  

        

.

SIMILAR QUESTIONS

Q1

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  

Q2

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

Q3

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

Q4

The triangle formed by the lines whose combined equation is  

Q5

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

Q6

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

Q7

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   

Q8

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

Q9

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

Q10

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