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

y = b is a horizontal line perpendicular to ________:

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

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

x = a is a vertical line perpendicular to __________.

• x - axis A
• x - axis may be B
• y - axis C
• None of these 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 linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

• Curve A
• Circle B
• Straight line C
• Parabola D

y = b is a horizontal line parallel to _________:

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

The feasible region is ________ if it can easily by enclosed within a circle.

• Bounded A
• Exist B
• Unbounded 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

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

• Open A
• Closed B
• Open as well as closed 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 non-negative inequalities are called:

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

There are _______ feasible solutions in the feasible region:

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

x = 4 is the solution of inequality:

• x + 3 > 0 A
• x - 3 < 0 B
• -2x + 3 > 0 C
• x + 3 < 0 D

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

(1, 0) is the solution of inequality :

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

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

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

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

Non-vertical lines divide the plane into___________half plane:

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