Find the equation of two lines parallel to 5x -12y + 26 = 0 at a distance of 4 units from it.

Two lines parallel to the y-axis and at a distance of2 units from the x-axis are taken. Another two lines parallel to the x-axis and at a distance of 3 units from the y-axis are also taken. Find the distance of the angular points of the rectangle, formed by the four intersecting line segments, from the origin.

Find the equation of the straight line which is parallel to 2x-y+3=0 and passes through the point (2,9).

Find the equation of line in space parallel to X-axis and passing through the origin

Find the equations of two tagents to the circle x ^2 + y ^2 = 34 which are parallel to the straight line 5y - 3x + 7 = 0.

Find the equation to the locus of a point which moves in a plane such that its distance from the point (1, 2) is equal to its distance from the Y-axis.

Find the equation of the tangents to the ellipse 3x ^2 + 4y ^2 = 12 which are perpendicular to the line 2x +y - 4 = 0.

Find the equation of tangent to the curve y=x^(4) - 6x^(3) + 13x^2 - 10x +5 at the points x = 1 and y = 0.

Find the equation of straight line passing through the point of intersection of the straight lines 2x - 3y + 4 = 0 and x + 2y - 5 = 0 and perpendicular to the line 3x - 4y + 5 = 0.

The equations of two diameters of a circle are x + y = 6 and x + 2y = 4. If its radius be 10 units, find the equation of the circle.

Find the equation of the straight line passing through the point (3, 2) and the point of intersection of the lines 3x + 2y - 1 = 0 and x - 3y + 5 = 0.