Question

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

Solution

Correct option is

 

Clearly, y = x is one of the lines given by the equation    

       

  

.

 

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

If  represents parallel straight lines, then

Q4

 

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

 

Q5

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

Q6

 

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   

Q7

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

Q8

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

Q9

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

Q10

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