The triangle formed by the lines whose combined equation is
The equations of the sides of the triangle are given by
Clearly, represents a pair of perpendicular lines.
Hence, the triangle is right angled.
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 x2 + 4xy + y2 = 0 is
The three lines whose combined equation is y3 – 4x2y = 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 (x1, y1) 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 (x1, y1) and perpendicular to the lines given by
The equation of the straight lines through the point (x1, y1) and parallel to the lines given by
The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by