Question # 1

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.

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One

Two

Thre

None of these

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

ax + b < c is a inequality of:

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One variable

Two variable

Three variable

Four variable

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Left or right

Upper or lower

Open

None of these

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Open

Closed

Open as well as closed

None of these

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

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

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Finitely many

Two

Infinitely many

Four

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

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

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Boundary point

Boundary line

Feasible line

None

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One variable

Three variable

Two variable

Four variable

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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Above

Left

Below

Right

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

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y = 5

y = 3

y = -4

y = 4

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