Question # 1

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

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28

29

Cosh² x - Sinh² x =

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1

-1

2

-2

If y = (x), then the variable x is called --------- variable of a function f.

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Dependent

Independent

Image of y

None of these

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

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Constant function

Absolute linear function

Linear function

Quadratic function

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

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0

2

3

1

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

The directrix of the parabola x² = -4ay is:

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x = a

x = -a

y = a

y = -a

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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

The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

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

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Bounded

Exist

Unbounded

None of these

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

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sinh x

cosh x

-sinh x

-cosh x

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