Question

The equation  represents two mutually perpendicular lines if

Solution

Correct option is

 

The given equation represents a pair of perpendicular lines. Therefore, 

       

and, 2 – p = 0                                   [Using âˆ† = 0 and a + b = 0] 

  

  

  

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

If the equation  represents two parallel straight lines, then

Q7

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

Q8

The equation x3 + y3 = 0 represents

Q9

 

One bisector of the angle between the lines given by

 . The equation of the other bisector is

Q10

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