Question

The triangle formed by the lines whose combined equation is  

Solution

Correct option is

Right angled

 

The equations of the sides of the triangle are given by  

           

Clearly,  represents a pair of perpendicular lines.  

Hence, the triangle is right angled.

SIMILAR QUESTIONS

Q1

The equation  represents two mutually perpendicular lines if

Q2

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

Q3

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

Q4

 

The angle between the pair of lines whose equation is

 

Q5

 

If two of the straight lines represented by   are at right angles, then,

Q6

The orthocentre of the triangle formed by the pair of lines  and the line x + y + 1 = 0 is 

Q7

If the distance of a point (x1y1) from each of the two straight lines, which pass through the origin of coordinates, is δ, then the two lines are given by  

Q8

The equation of two straight lines through the point (x1y1) and perpendicular to the lines given by 

Q9

The equation of the straight lines through the point (x1y1) and parallel to the lines given by 

Q10

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by