Question # 1

In R, the additive inverse of a is

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0

1

-a

1/a

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(a + b)c = a . c + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b+ c) = ab + ac

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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Domain of sin x is ______

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If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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2 x 2

2 x 3

3 x 2

3 x 3

The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

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I quadrant

II quadrant

III quadrant

IV quadrant

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

√25 is a number

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Rational

Irrational

Natural

Odd

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The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is

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1⁰

1'

1"

1 rad

sec (-360°) = ______

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0

1

2

3

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

The expression x2 - x + 1 has

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One proper linear factor

No proper linear factor

Two proper linear factors

None of these

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

22.5°=______

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-1

0

1

undefined

If the domain of sequence is finite set then the sequence is called

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

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