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 equation of the circle passing through the vertices of the triangle whose sides are : x - y = 0 , 3x + 2y = 5 and x + 2y = 5 .

Find the sum of coordinates of the orthocentre of the triangle whose sides are x=3,y=4 and 3x+4y=6

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 3x-y+3=0,3x+4y+3=0 and x+3y+11=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.

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 orthocentre of the triangle whose sides have the equations y = 15, 3x = 4y, and 5x + 12y = 0.

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

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