Question # 1

The vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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sinh x

cosh x

-sinh x

-cosh x

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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

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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

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

The linear function f(x) = ax + b is an identity function if:

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a = 0, b = 1

a = 1, b = 0

a = 1, b = 1

a = 0, b = 1

The directrix of the parabola x² = -4ay is:

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x = a

x = -a

y = a

y = -a

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3

4

5

6

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cot x

- cot x

cosec x cot x

-cosec x cot x

A unit vector is defined as a vector whose magnitude is:

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0

2

1

4

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

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