Question

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

Solution

Correct option is

±1

 

Clearly, lines given by xy = 0 are x = 0, y = 0 i.e. the coordinate axes and their bisectors are y = ±x

Putting 

      

SIMILAR QUESTIONS

Q1

The equation  represents a The Pair of Straight Lines, if

Q2

The equation  represents a The Pair of Straight Lines passing through the origin. The two lines are

Q3

If the pairs of straight lines ax2 + 2hxy – ay2 = 0 and bx2 + 2gxy – by2 = 0 be such that each bisects the angles between the other, then

Q4

If  represents parallel straight lines, then

Q5

 

If the equation  represents a pair of perpendicular straight lines, then  

 

Q6

The equation  represents a The Pair of Straight Lines. The distance between them is

Q7

 

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   

Q8

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

Q9

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

Q10

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