Question
The lines represented by and the lines represented by are equally inclined then


λ is any real number


easy
Solution
If the lines given by the two equations are equally inclined then they have the same bisectors. Therefore, equations
.
represent the same pair of lines
SIMILAR QUESTIONS
If two of the straight lines represented by are at right angles, then,
The orthocentre of the triangle formed by the pair of lines and the line x + y + 1 = 0 is
If the distance of a point (x_{1}, y_{1}) from each of the two straight lines, which pass through the origin of coordinates, is δ, then the two lines are given by
The equation of two straight lines through the point (x_{1}, y_{1}) and perpendicular to the lines given by
The equation of the straight lines through the point (x_{1}, y_{1}) and parallel to the lines given by
The triangle formed by the lines whose combined equation is
The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by
The equation x^{3} + ax^{2}y + bxy^{2} + y^{3} = 0 represents three straight lines, two of which are perpendicular, then the equation of the third line is
The combined equation of the lines L_{1} and L_{2} is 2x^{2} + 6xy + y^{2} = 0 and that of the lines L_{3} and L_{4} is 4x^{2} + 18xy + y^{2 }= 0. If the angle between L_{1}and L_{4} be α, then the angle between L_{2} and L_{3} will be
The equation represents three straight lines passing through the origin such that