A plane passing through `(1,1,1)` cuts positive direction of coordinates axes at `A ,Ba n dC ,` then the volume of tetrahedron `O A B C` satisfies a. `Vlt=9/2` b. `Vgeq9/2` c. `V=9/2` d. none of these

A plane passing through (1, 1, 1) cuts positive direction of co-ordinate axes at A, B and C if V be the volume of tetrahedron OABC, then the minimum value of V is __________

A line is drawn passing through point P(1,2) to cut positive coordinate axes at A and B . Find minimum area of DeltaPAB .

A plane passes through the point (1,1,1) and is parallel to the vectors vec b=(1,0,-1) and vec c=(-1,1,0). If pi meets the axes in A,B,and C,find the volume of the tetrahedron OABC.

If the plane (x)/(2)+(y)/(3)+(z)/(4)=1 cuts the coordinate axes in A,B,C, then the area of triangle ABC is

A plane is parallel to two lines whose direction ratios are (1,0,-1) and (-1,1,0) and it contains the point (1,1,1).If it cuts coordinate axes at A,B,C then find the volume of the tetrahedron OABC.

If a plane cuts off intercepts OA=a,OB=b,OC=c from the coordinate axes 9where 'O' is the origin). then the area of the triangle ABC is equal to

A variable plane passes through a fixed point (a,b,c) and cuts the coordinate axes at points A,B, and C. Show that eh locus of the centre of the sphere OABCis(a)/(x)+(b)/(y)+(c)/(z)=2

Find the equation of a plane passing through (1,1,1) and parallel to the lines L_(1) and L_(2) direction ratios (1,0,-1) and (1,-1,0) respectively.Find the volume of the tetrahedron formed by origin and the points where this plane intersects the coordinate axes.