Question # 1

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

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

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2

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0

1

-1

2

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

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Open

Closed

Open as well as closed

None of these

The term function was introduced by:

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Euler

Newton

Lagrange

Leibniz

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

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Parabola

Hyperbola

Ellipse

Circle

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The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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equal to each other

not equal to each

nearly equal to each other

none of these

For any point (x, y) on x-axis:

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y = 1

y = 0

y = -1

y = 2

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