2nd Year Mathematics Chapter 5 Online MCQ Test for 12th Class Mathematics Unit 5 (Linear Inequalities and Linear Programming)

There are _______ feasible solutions in the feasible region:

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

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

x = 2 is a vertical line perpendicular 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

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

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

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

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

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

• y = 5 A
• y = 3 B
• y = -4 C
• y = 4 D

x = a is a vertical line perpendicular 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 _________ where a, b and c are constants and a, b are not both zero.

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

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

y = b is a horizontal line parallel to _________:

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

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

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

• Left or right A
• Upper or lower B
• Open 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