Second Year Mathematics Chapter 5 Online MCQ Test Linear Inequalities and Linear Programming Preparation

There are _______ feasible solutions in the feasible region:

• Finitely A
• Two B
• Infinitely many C
• Three D

Non-vertical lines divide the plane into___________half plane:

• Upper and lower A
• Many B
• Left and Right C
• None of these D

A line which divides a plane into two parts is called:

• Boundary point A
• Boundary line B
• Feasible line C
• None D

The ordered pair _____ is a solution of the inequality x + 2y < 6.

• (3, 3) A
• (1, 1) B
• (4, 4) C
• (5, 5) D

ax + b > c is an inequality of:

• One variable A
• Three variable B
• Two variable C
• Four variable D

x = a is a vertical line perpendicular to __________.

• x - axis A
• x - axis may be B
• y - axis C
• None of these D

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

• Maximum A
• Corner B
• Minimum C
• None of these D

The non-negative inequalities are called:

• Parameters A
• Constants B
• Decision variables C
• Vertices D

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

• Maximum A
• Vertex B
• Minimum C
• Convex D

The system of _________ involved in the problem concerned is called problem constraints:

• Linear inequalities A
• Equations B
• Linear equalities C
• None of these D

ax + b < c is a inequality of:

• One variable A
• Two variable B
• Three variable C
• Four variable D

• At A
• Not on B
• On C
• None of these D

The region of the graph ax + by > c is called ______ half plane:

• Open A
• Boundary of B
• Closed C
• None of these D

• Left or right A
• Upper or lower B
• Open C
• None of these D

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

• Above A
• Left B
• Below C
• Right D

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

• Adding A
• Subtracting B
• Dividing C
• None of these D

The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

• One A
• Two B
• Thre C
• None of these D

• One variable A
• Three variable B
• Two variable C
• Four variable D

There are _______ ordered pairs that satisfy the inequality ax + by > c.

• Finitely many A
• Two B
• Infinitely many C
• Four D

x = 2 is a vertical line perpendicular to _____________:

• x - axis A
• x - axis may be B
• y - axis C
• None of these D