Question

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

Solution

Correct option is

 

The combined equation of the pair of lines through the origin and perpendicular to the lines given by

 

Shifting the origin at (1, 0), the equations of the required lines are  

        

.  

SIMILAR QUESTIONS

Q1

The product of the perpendiculars drawn from the point (1, 2) to be the pair of lines x2 + 4xy + y2 = 0 is

Q2

The three lines whose combined equation is y3 – 4x2y = 0 form a triangle which is

Q3

 

The angle between the pair of lines whose equation is

 

Q4

 

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

Q5

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

Q6

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  

Q7

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

Q8

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

Q9

The triangle formed by the lines whose combined equation is  

Q10

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