Question # 1

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If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

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In the translation of axes which formula is true:

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x = X + h

X = x + h

x + X = h

None

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tan x + c

-tan x + c

sec x + c

-sec x + c

The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3

If a function f is from a set X to a set Y, then set X is called the _______ of f:

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Domain

Range

Co-domain

None of these

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

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

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x-axis

x = 1

y-axis

x = 0

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

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sin x

cos x

-sin x

-cos x

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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Constant

Implicit

Explicit

Inverse

Sir Isaac Newton was a(an) --------- mathematician.

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German

French

Swiss

English

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

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

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