JEE 2020 Mathematics : Straight Line-03 (30.08.2019)

The sides AB BC CD and DA of a quadrilateral are x + 2y = 3, x = 1 x – 3y = 4, 5x + y + 12 = 0 respectively. The angle between diagonals AC and BD is

In what direction a line be drawn through the point (1, 2) so that its points of intersection with the line x + y = 4 is at a distance  from the given point

A ray of light coming from the point (1, 2) is reflected at a point A on the x–axis and then passes through the point (5, 3). The coordinates of the point A are

Two of the lines represented by the equation  will be perpendicular, then

The angle between the lines joining the points of intersection of line  and the curve  to the origin, is

The lines joining the origin to the points of intersection of the line and the circle will be mutually perpendicular, if

The figure formed by the lines  and  is

The equation of the pair of straight lines, each of which makes an angle with the line , is

The angle between the pair of straight lines is

The equation  when is a real number, represents a pair of straight lines. If  is the angle between the lines, then =