Question # 1

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sinh x

cosh x

-sinh x

-cosh x

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0

1

e

Does not exist

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

Equation of the line parallel to x + 3y - 9 = 0 is:

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3x - y - 9 = 0

3x + 9y + 7 = 0

2x - 6y - 18 = 0

x - 3y + 9 = 0

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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 s is the distance traveled by a body at time t, the velocity is given by the expression:

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Integration

Integrand

Constant of integration

None of these

y-coordinate of any point on X-axis:

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0

x

y

1

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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

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

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Zero

Undefined

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The point (5, 8) lies the line 2x - 3y + 6 = 0

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Above

Below

On

None

If the lower limit is a constant and the upper limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

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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28

29

Infinite number of lines can pass through:

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One point

Two points

Three points

Four points

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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