Question # 1

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

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The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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x = 0

y = -a

y = 0

y = -a

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

If the lower limit is a constant and the upper limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

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Undefined

3a²

a²

0

Zero vector is perpendicular to:

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Every vector

Unit vector only

Position vector only

Not any vector

ax + b < c is a inequality of:

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One variable

Two variable

Three variable

Four variable

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

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Parabola

Hyperbola

Ellipse

Circle

The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

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Independent variable

Not function

Function

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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0

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

Equation of the line parallel to x + 3y - 9 = 0 is:

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3x - y - 9 = 0

3x + 9y + 7 = 0

2x - 6y - 18 = 0

x - 3y + 9 = 0

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a

2b

b

2a

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