Find the area of the triangle whose sides are: `3x-2y+1=0, 3x+y+4=0 and 3x-5y+34=0`

Find the circumcentre of the triangle whose sides are 3 x-y+3 =0,3x +4y +3=0 and x+3y+11=0 .

Find the vertices and the area of the triangle whose sides are x=y, y=2x and y=3x+4 .

Coordinates of the orthocentre of the triangle whose sides are 3x -2y = 6, 3x + 4y + 12 = 0 and 3x-8y+12=0 is

Find the vertices of the triangle whose sides are y+2x=3, 4y+x=5 and 5y+3x=0

If (alpha, beta) be the circumcentre of the triangle whose sides are 3x-y=5, x+3y=4 and 5x+3y+1=0 , then (A) 11alpha - 21beta = 0 (B) 11alpha + 21beta = 0 (C) alpha +2beta=0 (D) none of these

Find the centroid and in-centre of the triangle, equations of whose sides are 3x-4y=0, 12 y + 5 x = 0 and y-15=0

Find the coordinates of the incentre and centroid of the triangle whose sides have the equations 3x-4y=0,5 x+12y=0 and y-15=0.

Find the lengths of altitudes of the triangle whose sides are given by 3x-4y=5, 4x+3y=5 andx+y=1

Find the area of the triangle formed by the lines y+x-6=0, 3y-x+2=0 and 3y=5x+2 .

Find the equation of a circle circumscribing the triangle whose sides are 2x+y-3=0, 3x-y-7=0 and x-2y+1=0.