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

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

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

Find the coordinats of the incentre of the triangle whose sides are x=3, y=4 and 4x+3y=12 . Also find the centroid.

Find the circumcentre of the triangle whose sides are 3 x-y+3 =0,3x +4y +3=0 and x+3y+11=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 equation of circumcircle of the triangle whose sides are 2x +y = 4,x + y = 6 and x +2y=5 .

Find the graphically, the vertices of the triangle whose sides have the equations 2y-x=8, 5y-x=14 and y-2x=1 respectively. Take 1 cm=1 unit on both the axes.

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

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 position of the origin with respect to theriangle whose sides are x + 1 = 0,3x-4y-5=0 and 5x+12y-27 = 0 .