#### 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 300 with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square Option 1) Option 2) Option 3) Option 4)

As we learnt in

Parametric form -

- wherein

Where   is the inclination of the line and  is the distance between   and

x-coordinates of A is

angle of OB with positive x-axis is

Hence x - coordinate of B is

x-cordinate of C is -2sin=-1

Hence Sum=

Option 1)

This option is correct

Option 2)

This option is incorrect

Option 3)

This option is incorrect

Option 4)

This option is incorrect