The plane `x/a+y/b+z/c=1` meets the coordinate axes at A,B and C respectively. Find the equation of the sphere OABC.

The plane x/a+y/b+z/c=1 meets the co-ordinate axes in the point A, B, C respectively. Find the area triangle ABC.

A tangent and a normal to a curve at any point P meet the x and y axes at A, B and C, D respectively. Find the equation of the curve passing through (1, 0) if the centre of circle through O.C, P and B lies on the line y = x (where O is the origin).

A plane meets the coordinate axes at A, B and C respectively such that the centroid of triangle ABC is (p, q, r). The equation of the plane is

The line 2x+3y=12 meets the coordinates axes at A and B respectively. The line through (5, 5) perpendicular to AB meets the coordinate axes and the line AB at C, D and E respectively. If O is the origin, then the area (in sq. units) of the figure OCEB is equal to

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 cuts the co-ordinate axes at A, B and C respectively. If the centroid of DeltaABC is (2,-3,4) , find the equation of the plane.

If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,B, and C , then find the area of the triangle A B C . a. 18 sq unit b. 36 sq unit c. 3sqrt(14) sq unit d. 2sqrt(14) sq unit

The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B, C : then the area of the DeltaABC is

The line x/a+y/b=1 meets the axis of and y at A and B respectively and C is middle point of AB then

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