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

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

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

-4 < y < 4 is the solution of the following:

• y = 5 A
• y = 3 B
• y = -4 C
• y = 4 D

ax + b > c is an inequality of:

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

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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

ax + b < c is a inequality of:

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

• Open A
• Closed B
• Open as well as closed C
• None of these D

(1, 0) is the solution of inequality :

• 7x + 2y < 8 A
• x - 3y < 0 B
• 3x + 5y > 6 C
• -3x + 5y > 2 D

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

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

• Perpendicular A
• Parallel B
• Equal C
• None of these D

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

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

• First A
• Third B
• Second C
• Fourth D

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

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

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

• Maximum solution A
• Optimal solution B
• Minimum solutions C
• None of these D

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

Non-vertical lines divide the plane into___________half plane:

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

x = 2 is a vertical line perpendicular to _____________:

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

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

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

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

ax + by < c is an inequality of:

• One variable A
• Threevariable B
• Twovariable C
• Fourvariable D