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

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

y = b is a horizontal line parallel to _________:

• x - axis A
• x - 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 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

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

There are _______ feasible solutions in the feasible region:

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

(1, 0) is the solution of inequality :

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

The non-negative inequalities are called:

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

x = 2 is a vertical line perpendicular to _____________:

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

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

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

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

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

ax + by < c is an inequality of:

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

x = 4 is the solution of inequality:

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

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