Question # 1

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

The instantaneous rate of change of y with respect to x is given by:

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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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4

Does not exist

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 directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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

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a > 0

a < 0

a = 0

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One variable

Three variable

Two variable

Four variable

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

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

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f(x² + 1)

f(x)

f(x²)

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

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A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

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