Question # 1

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

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A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

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The law of sines

The law of tangents

The pythagorus theorem

None of these

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

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0

1

-1

The distance between the points (2, 2) and (3, 3) is

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10

5

2

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The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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1-i √-3 / 2

-1+i √-3 / 2i

-1+i √3 / 2

1+i √3 / 2

In general matrices do not satisfy

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

r + 3 > 5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 + 4

None

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

If Z= (1,2). tjem Z^-1 = ?

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

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Rotation

Inclination

Radian

None

An angle of one radian is equivalent to

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90^o

60^o

67^o

57^o, 18^o

If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is

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Dom f(x) ∩ Dom g (x)

Dom f(x) ∪ Dom g(x)

[Domf(x)]² - [Dom g(x)]²

[Dom g(x)]²-[Domf(x)]²

If Sin^-1 x + cos^-1 y = π, then x and y are

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Associative angles

Complementary angles

Reflex angles

Supplementary angles

(x+2)² = x² +4x +4 is

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1

2

3

4

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