Question # 1

The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

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One variable

Three variable

Two variable

Four variable

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

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x = X - h

x = X + h

x + X = h

None

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative

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

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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Unit vector

Null vector

Free vector

None of these

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Integration

Integrand

Constant of integration

None of these

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

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x = a

x = 2

x = 0

None

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Scalar quantity

Reciprocal vector

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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)

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

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Above

Left

Below

Right

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

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1

0

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1

2

3

4

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