The Equation  represets

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

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 45^o in the clockwise sense and the other line being turned by 15^o in the anticlockwise sense. The combined equation of the pair of lines kin their new position is    

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.  

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   

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

If one of the given by , then cequals

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

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) = 

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

If the pair of lines  lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of the another sector, then