Find the distance between `A(2,3)` on the line of gradient 3/4 and the point of intersection `P` of this line with `5x+7y+40=0.`

Find the distance between the line 4x+3y+4=0 and a point (i) (-2, 4) (ii) (7, -3)

Find the distance of the point (3,-3) from the line 3x - 4y - 26 = 0

Find the distance between the parallel lines 3x-4y+5=0 and 6x-8y-15=0

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x - 7y + 5 = 0 " and " 3x + y = 0 .

Find the distance of the point (2, 3, -2) from the point of intersection of the straight line passing through the points A(3, 0, 1) and B(6, 4, 3) with the plane x+y-z=7 .

Find the distance between the parallel lines 12x+5y=7 and 12x+5y+7=0

Find atleast two equations of the straight lines in the family of the lines y=5x+b, for which b and the x-coordinate of the point of intersection of the lines with 3x-4y=6 are integers.