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)

Inverse hyperbolic functions are expressed in terms of natural:

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Numbers

Exponential

Logarithms

Sines

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 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

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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[0]

[0, 0]

[0, 0, 0]

None of these

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

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Left

Upward

Right

Downward

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

None of these

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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x

y

lower limit

upper limit

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2 - 7

2 + 7

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

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sec x tan x

sec²x

-sec x tan x

-sec²x

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

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