Question # 1

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

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Line

Parabola

Ellipse

Hybperbola

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0

1

-1

2

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

ax + by + c = 0, will represent equation of straight line parallel y-axis if:

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a = 0

b = 0

c = 0

a = 0, c = 0

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One variable

Three variable

Two variable

Four variable

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4

Does not exist

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

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

y - y1 = m ( x - x1) is the equation of straight line in:

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Slope-intercept from

Point-slope from

Normal form

Intercepts form

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e^-x sin x + c

-e^-x sin x + c

e^-xcosx + c

-e^-xsin x + c

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36

42

48

12

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

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