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

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

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

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

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

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

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

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

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

(1, 0) is the solution of inequality :

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

ax + b > c is an inequality of:

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

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

• 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 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

ax + b < c is a inequality of:

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

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