Question # 1

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°

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

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The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

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equal to each other

not equal to each

nearly equal to each other

none of these

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

The derivative of x with respect to y is given by:

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domain

range

lower limit

upper limit

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

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90°

30°

60°

0°

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

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sech x tanh x

-sech²x

-sech x tanh x

sech²x

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