Prove that the disgonals of the parallelogram whose sides are `sqrt3x+y=0`,`sqrt3y+x=0`,'sqrt3x+y=1'and `sqrt3y+x=1`are perpendicular to each other.

Find the angles of the triangle whose sides are y+2=0,sqrt(3)x+y=1andy-sqrt(3)x+2+3sqrt(3)=0

The triangle formed by the line x+sqrt3y=0, x- sqrt3y=0 and x=4 is-

Find the angle between the lines y-sqrt3 x - 5 = 0 and sqrt3 y -x + 6 = 0

Find the area of the closed figure bounded by the curves y=sqrt(x),y=sqrt(4-3x) and y=0

Find the angle between the two lines x-sqrt3y=3 and sqrt3x-y+1=0

The angle between the-lines x+sqrt3y+7=0 and sqrt3x-y+8=0 is

The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 t= 0 & sqrt3 tx +ty-4 sqrt3=0 (where t is a parameter) is a hyperbola whose eccentricity is:

The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 t= 0 & sqrt3 tx +ty-4 sqrt3=0 (where t is a parameter) is a hyperbola whose eccentricity is: (a) sqrt3 (b) 2 (c) 2/sqrt3 (d) 4/3

Find angles between the lines sqrt3x + y = 1 " and " x + sqrt3y = 1 .

Acute angle between the lines x+sqrt(3)y+7=0 andsqrt(3)x-y+8=0 is -