Answer to Question #57668 in Analytic Geometry for sanjiv

Question

Find the general equation of the line parallel to 4x - 3y = 15 and passing:
a. at a distance 2 from the origin
b. twice as far from the origin
c. 2 units far from the origin
d. at a distance 5 from the given line


Find the general equation of the line parallel to x + y = 3 and passing:
a. at a distance 2 from the origin
b. 2 square root of 2 units farther from the origin
c. 2/3 as far from the origin
d. at a distance 3 square root of 2 from the given line

Find the general equation of the line:
a. parallel to the line 2x + 3y = 6 and passing at a distance 5 square root of 13 over 13 from the point (-1, 1)
b. parallel to the line x - y + 9 = 0 and passing at a distance 5 square root of 2 from the point (1, 4)
c. perpendicular to the line 3x + 4y = 7 and passing at a distance 4 from the point (1, -2)
d. perpendicular to the line 3x - 4y = 20 and passing at a distance 2 from the point (-1, 1)