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

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 ?

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

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 lies above the X - axis and has one vertex at the origin . The side passing through the origin makes an angle alpha(o lt alpha lt pi//4) with the positive direction of the X - axis . Prove that the equation of its diagonals are , y (cos alpha - sin alpha ) = x (sin alpha + cos alpha ) , and y(sin alpha + cos alpha ) + x ( cos alpha - sin alpha ) = a where , is the length of each side of the square

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 the straight lines passing through the origin making an angle alpha with the straight line y=mx+c .

The equation to the striaght lines passing through the origin and making an angle alpha with straight line y+x=0 are given by

The equation of the parabola with vertex at the origin passing through (2,3) and the axis along x-axis is