Question # 1

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

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

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The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

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4a

2a

4b

2b

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

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36

42

48

12

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

If any two vectors of scalar triple product are equal, then its value is equal to:

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0

1

-1

2

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

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tan x + c

-tan x + c

sec x + c

-sec x + c

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

Which one is not an exponential function ?

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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

Area between x-axis and the curve:

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32

16

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A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

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Lagrange

Newtown

Leibniz

Cauchy

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