Question # 1

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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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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

y-coordinate of any point on X-axis:

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0

x

y

1

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

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1

0

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

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Line

Parabola

Ellipse

Hybperbola

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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 law of parallelogram of addition was used by Aristotle to describe the combined action of :

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One force

Two forces

Three forces

Four forces

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

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0

1

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tan x + c

-tan x + c

sec x + c

-sec x + c

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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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