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

x = a is a vertical line perpendicular to __________.

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

• At A
• Not on B
• On C
• None of these D

ax + b < c is a inequality of:

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

The system of _________ involved in the problem concerned is called problem constraints:

• Linear inequalities A
• Equations B
• Linear equalities 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 non-negative inequalities are called:

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

(1, 0) is the solution of inequality :

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

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

x = c is a vertical line parallel to __________.

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

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

Non-vertical lines divide the plane into___________half plane:

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

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

x = 2 is a vertical line perpendicular to _____________:

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

A corner point is the point of intersection of:

• x-axis & y - axis A
• Boundary lines B
• Any two lines C
• None 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 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

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

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