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

x = a is a vertical line perpendicular to __________.

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

ax + by < c is an inequality of:

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

• Open A
• Closed B
• Open as well as closed 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

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 graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

• At A
• Not an B
• On C
• None of these 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

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

• Left or right A
• Upper or lower B
• Open 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 operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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

A function, which is to be maximized or minimized is called an ________:

• Maximum function A
• Objective funciton B
• Minimum function C
• None of these 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

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

x = c is a vertical line parallel to __________.

• x-axis A
• y-axis may be B
• y-axis 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

A corner point is the point of intersection of:

• x-axis & y - axis A
• Boundary lines B
• Any two lines C
• None 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