Which of the following is a linear objective ? A) `z=ax+by` B)`z leq ax+by` C) `z gt ax+by` D)`z!=ax+by`

The feasible region of a system of linear inequalities is shown shaded in the following graph . If the objective function is Z = ax + by where a,b are constants and the maximum of Z occurs at points A and D then :

If S is the set of distinct values of 'b' for which the following system of linear equations x+y+z=1 x+ay +z=1 ax+by+z=0 has no solution then S is

Write the number of terms in each of the following polynomials : ax - by + y xx z

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

In a LPP, the maximum value of the objective function Z = ax +by is always finite.