Find the orthocentre of the triangle the equations of whose sides are `x+y=1,2x+3y=6a n d4x-y+4=0.`

Find the volume of the solid obtained by revolving the area of the triangle whose sides are x = 4, y = 0 and 3x - 4y = 0 about x -axis

The orthocentre of the triangle formed by the lines x = 0, y = 0 and x + y = 1 is

The orthocentre of a triangle formed by the lines x - 2y = 1, x = 0 and 2x + y - 2 = 0 is

Find the area of a triangle whose three sides are having the equations x+y=2,x-y=0 and x+2y-6 =0.

The extremities of the base of an isosceles triangle are (2,0)a n d(0,2) . If the equation of one of the equal side is x=2, then the equation of other equal side is (a) x+y=2 (b) x-y+2=0 (c) y=2 (d) 2x+y=2

Find the equation of the plane through the intersection of the planes x + 3y + 6 = 0 and 3x - y - 4z = 0 whose perpendicular distance from the orgin is equal to 1.

Find the volume of the solid, obtained by revolving the area of the triangle whose sides are having the equations y=0,x=3 and 2x-3y=0 about x axis .