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

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 _________ where a, b and c are constants and a, b are not both zero.

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

ax + b < c is a inequality of:

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

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

ax + by < c is an inequality of:

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

There are _______ ordered pairs that satisfy the inequality ax + by > c.

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

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

The region of the graph ax + by > c is called ______ half plane:

• Open A
• Boundary of B
• Closed 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 corner point is the point of intersection of:

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

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 non-negative inequalities are called:

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

y = b is a horizontal line parallel to _________:

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

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

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

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

x = a is a vertical line perpendicular to __________.

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