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

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

• y = 5 A
• y = 3 B
• y = -4 C
• y = 4 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 inequality y > b is the open half plane to the ______ of the boundary line y = b:

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

The non-negative inequalities are called:

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

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

x = 2 is a vertical line perpendicular to _____________:

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

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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

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

x = 4 is the solution of inequality:

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

y = b is a horizontal line perpendicular to ________:

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

Non-vertical lines divide the plane into___________half plane:

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

ax + by < c is an inequality of:

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

ax + b > c is an inequality of:

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