Question # 1

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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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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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

Let f(x) = cos x, then f(x) is an:

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Even function

Odd function

Power function

None of these

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

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Integration

Integrand

Constant of integration

None of these

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

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sec x tan x

- sec²x

-sec x tan x

sec²x

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Derivative

Differential

Integral

None of these

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

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x with respect to y

y with respect to y

y with respect to x

x with respect to x

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

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

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The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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Unit Vector

Null vector

Position vector

None of these

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