Question # 1

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1

2

3

4

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tan x

cot x

- tan x

- cot x

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

If f(x) = cos x then f'(0) is equal to:

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0

-1

1

In the 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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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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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4

2

1

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

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e^-x sin x + c

-e^-x sin x + c

e^-xcosx + c

-e^-xsin x + c

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 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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Integration

Integrand

Constant of integration

None of these

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 distance of any point P (x, y) from the origin O(0 , 0) is given by:

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90°

30°

60°

0°

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

The opening of the parabola y² = 4ax is to the ________ of the:

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Left

Upward

Right

Downward

f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

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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