Question # 1

The area A of a circle as a function of its circumference C is:

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[0]

[0, 0]

[0, 0, 0]

None of these

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

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a > 0

a < 0

a = 0

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0

1

-1

2

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

There are _______ ordered pairs that satisfy the inequality ax + by > c.

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Finitely many

Two

Infinitely many

Four

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x = a

x = 2

x = 0

None

The radius of circle x² + y² + ax + by + c = 0 is:

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None

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

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

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Position vector of O

Position vector of P

Unit vector

Null vector

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)

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

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3

4

5

6

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tan x

cot x

- tan x

- cot x

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One variable

Three variable

Two variable

Four variable

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

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