Question

 

One bisector of the angle between the lines given by

 . The equation of the other bisector is

Solution

Correct option is

 

We have,  

       

Clearly, it represents a The Pair of Straight Lines passing through (1, 0). Since the bisectors of the angles between two lines are always perpendicular. So, the other bisector passes through (1, 0) and is perpendicular to 2x + y – 2 = 0. Hence, its equation is  

       .   

SIMILAR QUESTIONS

Q1

 

Let PQR be a right angled isosceles triangle, right angled at

P(2, 1). If the equation of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is   

Q2

If the gradient of one of the lines given by  is twice that of the other, then h =  

Q3

The set of values of h for which the equation  represents a pair of real and distinct lines is

Q4

If one of the lines of  is a bisector of angle between the lines xy = 0, then m is

Q5

If one of the lines of the pair  bisects the angle between positive direction of the axes, then ab and h satisfy the relation.

Q6

If the equation  represents two lines inclined at an angle π, then λ =

Q7

If the equation  represents two parallel straight lines, then

Q8

The gradient of one of the lines given by  is twice that of the other, then

Q9

The equation x3 + y3 = 0 represents

Q10

The equation  represents two mutually perpendicular lines if