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

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

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

• Does not satisfy A
• May be stisfied B
• Satisfies C
• None of these D

• At A
• Not on B
• On 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 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 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

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

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

ax + b < c is a inequality of:

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

(1, 0) is the solution of inequality :

• 7x + 2y < 8 A
• x - 3y < 0 B
• 3x + 5y > 6 C
• -3x + 5y > 2 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 inequality x < a is the open half plane to the __________ of the boundary line x = a:

• 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

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

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

• y = 5 A
• y = 3 B
• y = -4 C
• y = 4 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 region of the graph ax + by > c is called ______ half plane:

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

ax + b > c is an inequality of:

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