Question # 1

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

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28

29

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

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

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

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f(x² + 1)

f(x)

f(x²)

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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Left or right

Upper or lower

Open

None of these

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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Constant

Explicit

Implicit

Inverse

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

ax + by + c = 0 has matrix from as:

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

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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Circle

Parabola

Hyperbola

Ellipse

Inclination of Y-axis or of any line parallel to Y-axis is:

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Zero

Undefined

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