Question # 1

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domain

range

lower limit

upper limit

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

The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

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One

Two

Thre

None of these

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

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

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

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Integral

Indefinite integral

Differential

Definite integral

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

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2

1

4

3

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0

2

3

1

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

In the case of rotation of axes which formula is true:

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In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

If a straight line is perpendicular to x-axis, then its slope is:

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0

1

2

Undefined

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

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sinh x

cosh x

-sinh x

-cosh x

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