Question

 

The area (in square units) of the quadrilateral formed by two pair of the lines  

Solution

Correct option is

 

We  have,  

       

            

      

  

Thus, the equations of the sides of the quadrilateral are  

        

      

Clearly, they form of a parallelogram. Also, the distances between the pairs of parallel lines are same. So, they form a rhombus.   

Area of parallelogram OABC  

        .

SIMILAR QUESTIONS

Q1

 

The straight lines represented by

 

Q2

The equation  of the image of the pair of rays  in the line mirror x= 1 is

Q3

Two lines represented by the equation  are rotated about the point (1, 0), the line making the bigger angle with the positive direction of the x-axis being turned by 45o in the clockwise sense and the other line being turned by 15o in the anticlockwise sense. The combined equation of the pair of lines kin their new position is    

Q4

 

The value of λ for which the lines joining the point of intersection of curves C1 and C2 to the origin are equally inclined to the axis of X.  

        

     

Q5

If one of the lines given by the equation  coincide with one of those given by  and the other lines represented by them be perpendicular, then   

Q6

 

If the pair of lines  have exactly one line in common, then a =

Q7

If one of the given by , then cequals

Q8

Area of the triangle formed by the line x + y = 3 and angle bisectors of the pair of the straight lines  is 

Q9

 

If the The Pair of Straight Lines given by   forms an equilateral triangle with the line ax + by + c = 0, then (A + 3B)(3A + B) = 

Q10

The equation  represets