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

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

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.

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.

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.

A plane meets the coordinate axes at A ,Ba n dC respectively such that the centroid of triangle A B C is (1,-2,3)dot Find the equation of the plane.

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.

A plane meets the coordinate axes at A ,\ B ,\ C such that the centroid of "Delta A B C is the point (a ,\ b ,\ c) . If the equation of the plane is x/a+y/b+z/c=k ,\ t h e n\ k= 1 b. 2 c. 3 d. none of these

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

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these