Question
The equation of two straight lines through the point (x_{1}, y_{1}) and perpendicular to the lines given by




None of these
easy
Solution
We know that the equations of the lines passing through the origin and perpendicular to the lines given by
Now, shifting the origin at (x_{1}, y_{1}), the equations of the required lines are
SIMILAR QUESTIONS
The equation x^{3} + y^{3} = 0 represents
One bisector of the angle between the lines given by
. The equation of the other bisector is
The equation represents two mutually perpendicular lines if
The product of the perpendiculars drawn from the point (1, 2) to be the pair of lines x^{2} + 4xy + y^{2} = 0 is
The three lines whose combined equation is y^{3} – 4x^{2}y = 0 form a triangle which is
The angle between the pair of lines whose equation is
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 the straight lines through the point (x_{1}, y_{1}) and parallel to the lines given by