Find the transformed equation of the straight line 2x3y+5=0, when the origin is shifted to the point (3,−1) after translation of axes.
The equation of a line which is parallel to the line common to the pair of lines given by 6x2−xy−12y2=0 and 15x2+14xy−8y2=0 and at a distance of 7 units from it is 3x−4y=−35 5x−2y=7 3x+4y=35 2x−3y=7
A line L passing through the point (2, 1) intersects the curve 4x2+y2−x+4y−2=0 at the point AandB . If the lines joining the origin and the points A,B are such that the coordinate axes are the bisectors between them, then find the equation of line L˙
The perpendicular from the origin to the line y=mx+cmeets it at the point (1,2). Find the values of m and c.
Find the equation of the line which satisfy the given conditions : Intersecting the xaxis at a distance of 3 units to the left of origin with slope 2.