Question # 1

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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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

None of these

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

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Scalar

Free vector

Unit vector

Null vector

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

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integration by parts

definite integral

Differentation

None of these

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 radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

If the lien l is parallel to y-axis, then the slope of l is ----------------.

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0

1

-1

undefined

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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0

1

2

4

y = mx + c is the equation of straight line in:

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Slope-intercept form

Two points from

Point slope form

Intercepts form

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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One variable

Three variable

Two variable

Four variable

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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

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