Question # 1

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

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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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a

2b

b

2a

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

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x = 0

y = -a

y = 0

y = -a

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Constant

Implicit

Identity

Inverse

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°

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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2

1

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

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|CP| < r

|CP| = r

|CP| > r

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 point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

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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