Question # 1

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

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0

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -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

The set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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sin x

-cos x

-sin x

cos x

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

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

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

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Integral

Indefinite integral

Differential

Definite integral

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

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[0]

[0, 0]

[0, 0, 0]

None of these

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

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sin x

cos x

-sin x

-cos x

f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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