A square of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle `30^(@)` with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is:

Find the equation of a line passing through the origin and making an angle of 120^(@) with the positive direction of the x-axis.

A square of side 'a' lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha (0 < alpha' < pi/4 ) with the positive direction of x-axis. Find the equation of diagonal not passing through the origin ?

Find the equation of a line through the origin which makes an angle of 45^0 with the positive direction of x-axis.

A square of side a lies above the x - axis and has one vertex at the origin.The side passing through the origin makes an angle alpha where 0< alpha <(pi)/(4) with the positive direction of x - axis.The equation of its diagonal not passing through the origin is

The equation of a line which passes through (2,3) and makes an angle of 30^(@) with the positive direction of x-axis is

A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha(0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is (a) y(cosalpha+sinalpha)+x(sinalpha-cosalpha)="alpha(b)y(cosalpha+sinalpha)+x(sinalpha+cosalpha)=alpha(c)y(cosalpha+sinalpha)+x(cosalpha-sinalpha)=alpha(d)y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=alpha

A square of side ' a ' lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha (0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is: a. y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=a b. y(cosalpha+sinalpha)+x(sinalpha-cosalpha)=a c. y(cosalpha-sinalpha)+x(sinalpha+cosalpha)=a d. y(cosalpha+sinalpha)-x(cosalpha+sinalpha)=a

Find the equation of a line passing through the point (0,-2) and makes an angle of 75^(@) from the positive direction of X -axis.