Question # 1

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

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 non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

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f(x² + 1)

f(x)

f(x²)

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

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Unit Vector

Null vector

Position vector

None of these

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

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

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

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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

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

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tan x + c

-tan x + c

sec x + c

-sec x + c

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