Question # 1

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cos x + c

- cos x + c

sin x + c

-sin x + c

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

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

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x = a

x = 0

y = a

y = 0

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

The equation of the latus-rectum of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = -a

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

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Unit vector

Null vector

Position vector

None of these

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c

0

1

-c

The law of parallelogram of addition was used by Aristotle to describe the combined action of :

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One force

Two forces

Three forces

Four forces

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

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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Implicit

Explicit

Exponential

Logarithmic

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

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x = a

x = 0

y = a

y = 0

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

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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There are _______ ordered pairs that satisfy the inequality ax + by > c.

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Finitely many

Two

Infinitely many

Four

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

If the upper limit is a constant and the lower 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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