Question # 1

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Unit vector

Null vector

Free vector

None of these

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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

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Centroid

Ortho-center

Circums-center

In-center

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Zero vector is perpendicular to:

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Every vector

Unit vector only

Position vector only

Not any vector

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

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integration by parts

definite integral

Differentation

None of these

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Free vector

Unit vector

Null vector

None of these

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

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

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x = 0

x = a

y = 0

y = a

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

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

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

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sinh x

cosh x

-sinh x

-cosh x

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

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x = a

x = -a

y = a

y = -a

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domain

range

lower limit

upper limit

Area between x-axis and the curve:

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32

16

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

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