The equation of a straight line on which the length of perpendicular from the origin is four units and the line makes an angle of `120^0` with the x-axis is (a) `xsqrt(3)+y+8=0` (b) `xsqrt(3)-y=8` (c) `xsqrt(3)-y=8` (d) `x-sqrt(3)y+8=0`

Find the equations of straight line which are perpendicular to the straight line 4x-3y+7=0 and at a distance 3 unit from the origin.

Find the equations of straight lines which are perpendicular to the straight line 4x-3y+7=0 and at a distance of 3 unit from the origin.

Find the equation of a straight line perpendicular to the line 2x + 5y + 7 = 0 and with y-intercept – 3 units.

The equation of the tangent to the parabola y^(2) = 8x which is perpendicular to the line x-3y+8=0 is -

The equation of straight line passing through the origin and making an angle alpha with the straight line x+y=0 is

The perpendicular distance of the straight line 3x + 4y + 15 = 0 from the origin, is

Equation(s) of the straight line(s), inclined at 30^0 to the x-axis such that the length of its (each of their) line segment(s) between the coordinate axes is 10 units, is (are) x+sqrt(3)y+5sqrt(3)=0 x-sqrt(3)y+5sqrt(3)=0 x+sqrt(3)y-5sqrt(3)=0 x-sqrt(3)y-5sqrt(3)=0

Find the equation of the straight line which passes through the origin and makes angle 60^0 with the line x+sqrt(3)y+sqrt(3)=0 .

Find the equations to the straight lines which are at a distance of 3 unit from the origin and which pass through the intersection of the lines 4x+3y+1=0 and 5x-y=13

The equation of a line which makes an angle 45^@ with x-axis and cuts the y=axis is at (0,3) is