Question # 1

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

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x = a

x = -a

y = a

y = -a

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tan x + c

-tan x + c

sec x + c

-sec x + c

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

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Bounded

Exist

Unbounded

None of these

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

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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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Unit vector

Null vector

Free vector

None of these

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

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Unit vector

Null vector

Position vector

None of these

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

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

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Boundary point

Boundary line

Feasible line

None

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

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

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0

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

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Constant

Implicit

Explicit

Inverse

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

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

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

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ICS Part 2 Mathematics Full Book Test Online MCQs With Answers

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