The point (2,1) , translated parallel to the line `x-y=3` by the distance of 4 units. If this new position `A'` is in the third quadrant, then the coordinates of `A'` are-

Find the equations of the two straight line parallel to the line 3x+4y=15 and at a distance of 7.5 unit from the point (1,-2).

Find the equations of the two straight line parallel to the line 3x+4y=15and at a distance of 7.5 unit from the point (1,-2).

Find the equations of line parallel to 3x + 4y + 2 = 0, at a distance 4 units from given line.

Find the equations of lines parallel to 3x-4y-5=0 at a unit distance from it.

The equation of a line parallel to the line 3x+4y=0 and touching the circle x^(2)+y^(2)=9 in the first quadrant is

A line through point A(1,3) and parallel to the line x-y+1 = 0 meets the line 2x-3y + 9 = 0 at point P. Find distance AP without finding point P.

The point P(2,1) is shifted through a distance 3sqrt(2) units measured parallel to the line x+y=1 in the direction of decreasing ordinates, to reach at Q. The image of Q with respect to given line is

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

What are the points on the y-axis whose distance from the line x/3 + y/4 = 1 is 4 units.

Column I, Column II The coordinates of a point on the line x=4y+5,z=3y-6 at a distance 3 from the point (5,3,-6) is/are, p. (-1,-2,0) The plane containing the lines (x-2)/3=(y+2)/5=(z+5)/7 and parallel to hat i+4 hat j+7 hat k has the point, q. (5,0,-6) A line passes through two points A(2-3,-1)a n dB(8,-1,2)dot The coordinates of a point on this line nearer to the origin and at a distance of 14 units from A is/are, r. (2,5,7) The coordinates of the foot of the perpendicular from the point (3,-1,11) on the line x/2=(y-2)/3=(z-3)/4 is/are, s. (14 ,15)