Area of the triangle formed by the line x + y = 3 and angle bisectors of the pair of the straight lines is
2 sq. units
Thus, the lines given by equation (i) are
Clearly, these two equations represent a pair of perpendicular lines intersecting at (0, 1). The equations of the angle bisectors are y = 1 and x= 0.
The line x + y = 3 forms the triangle ABC with the two angle bisectors.
If the pair of lines represented by intersect on y-axis, then
If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of 45oat the major segment of the circle, then m =
The straight lines represented by
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 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
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
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) =