12th class Mathematics chapter 5 online mcq test with answers for Fa part 2 Mathematics Chapter 5 (Linear Inequalities and Linear Programming)

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

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

• At A
• Not on B
• On 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

y = b is a horizontal line perpendicular to ________:

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

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

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

The non-negative inequalities are called:

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

ax + by < c is an inequality of:

• One variable A
• Threevariable B
• Twovariable C
• Fourvariable 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 _______ ordered pairs that satisfy the inequality ax + by > c.

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

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

There are _______ feasible solutions in the feasible region:

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

(1, 0) is the solution of inequality :

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

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

• Bounded A
• Exist B
• Unbounded 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

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

Non-vertical lines divide the plane into___________half plane:

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