Question # 1

A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

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integration by parts

definite integral

Differentation

None of these

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

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Left or right

Upper or lower

Open

None of these

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Scalar

Free vector

Unit vector

Null vector

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sin x

cos x

sinh x

cosh x

The radius of point circle is:

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0

(0, 0)

r

1

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

y = b is a horizontal line parallel to _________:

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x - axis

x - axis may be

y - axis

None of these

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2

1

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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 graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

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