Question # 1

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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

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Ellipse

Parabola

Hyperbola

Circle

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

The directrix of the parabola x² = -4ay is:

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x = a

x = -a

y = a

y = -a

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0

2

1

-1

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

None of these

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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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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Undefined

3a²

a²

0

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

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Left

Upward

Right

Downward

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

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°

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

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Open

Boundary of

Closed

None of these

If the graph of f is entirely below the x-axis, then the definite integral is:

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Positive

Positive or negative

Negative

Positive and negative

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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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3

4

5

6

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

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