Question

 

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

 

Solution

Correct option is

 

The given equation will represent a pair of perpendicular straight lines if 

          

   

.

 

SIMILAR QUESTIONS

Q1

The equation of pair of lines joining origin to the points of intersection ofx2 + y2 = 9 and y =3, is

Q2

The tangent to the angle between the lines joining the origin to the points of intersection of the line y = 3x + 2 and the curve x2 + 2xy + 3y2 + 4x + 8y – 11 = 0, is

Q3

The angle between the lines joining the origin to the point of intersection of the line  and the circle x2 + y2 = 4, is 

Q4

The straight lines joining the origin to the points of intersection of the linekx + hy = 2hk with the curve (x – h)2 + (y – k)2 = c2 are at right angles, if

Q5

If the lines joining the origin to the points of intersection of the line y = mx+ 2 and the curve x2 + y2 = 1 are at right-angles, then

Q6

The equation  represents a The Pair of Straight Lines, if

Q7

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

Q8

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

Q9

If  represents parallel straight lines, then

Q10

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