Question

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

Solution

Correct option is

None of these

 

We know that the product of perpendiculars drawn from (x1y1) to the lines represented by ax2 + 2hxy + hy2 = 0 is     

        

Here,    a = 1, 2h = 4, = 1, x1 = 1 and y1 = 2.  

.

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

If the equation  represents two parallel straight lines, then

Q6

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

Q7

The equation x3 + y3 = 0 represents

Q8

 

One bisector of the angle between the lines given by

 . The equation of the other bisector is

Q9

The equation  represents two mutually perpendicular lines if

Q10

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