Question # 1

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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Implicit

Explicit

Exponential

Logarithmic

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One variable

Three variable

Two variable

Four variable

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0

2

3

1

The radius of point circle is:

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0

(0, 0)

r

1

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0

1

2

4

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4

2

1

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

The radius of circle x² + y² + ax + by + c = 0 is:

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None

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

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

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

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

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Open

Boundary of

Closed

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

tanh x =

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An integral of 3x² is:

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x³+c

3

6x

x^2+c

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

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0

2

1

-1

The graph of the parabola y² = -4ax is symmetric about:

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x-axis

major axis

y-axis

minor axis

x = 3 cos t, y = 3 sin t represent

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Line

Circle

Parabola

Hyperbola

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