True or False :
The lines 3x - 4y- 10 = 0 and 5x + 12y + 26 = 0 are equidistant from the origin.

Which of the st. lines 2x - y + 3 = 0 and x- 4y-7=0 is farther from the origin ?

The lines x-y-6=0, 4x-3y-20=0 and 6x+5y+8=0 are:

True or false The line x=y=z lies in the plane x-2y+z-1=0.

Obtain the co-ordinates of the feet of perpendiculars drawn from the origin upon the lines 3x -5y + 2=0 and 4x- 3y + 5 = 0 and show that the equation of the st. line joining these feet is 26x + 53y = 11 .

Find the coordinates of the those point on the line 3x+ 2y = 5 which are equisdistant from the lines 4x+ 3y - 7 = 0 and 2y - 5 = 0

statement 1: incentre of the triangle formed by the lines whose 3x+4y = 0 , 5x-12y=0 and y - 15 = 0 is the point P whose co-ordinates are (1, 8) . Statement- 2: Point P is equidistant from the 3 lines forming the triangle.

If the lines 12x + 5y + 16 = 0 and 12 x+ 5y - 10 = 0 are tangent to a circle then the radius is :

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x - y + 7 = 0 and which is parallel to 5x - 4y - 20 = 0 .

If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y - 5 = 0 and 3x - 2y + 7 = 0 is always 10. Show that P must move on a line.

State True/False: The origin satisfies 3x - y ge 1.