Question # 1

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

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Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

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The multiplicative inverse ofx^(-1) is

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x

a-2

0

1

What is the period of cos 6x =?

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π/2

π/3

π/4

π

It is not possible to find the exact value of

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π

√9

∛27

√1

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The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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0

-1-w²

Three points whose position vector a,b,c are collinear

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axb +b x c+ c x a = 0

a,b +b,c +c,a =0

a,|a xc| =0

a+b+c =0

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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none of these

If a2 = b2 then

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a = b

a+b= 1

|a+b| =0

None

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0

1

none of these

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is

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35 cm

70 cm

140 cm

105 cm

Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

The direction cosines of a line equally inclined with co-ordinate axes are

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For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

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The solution set of sin x + cos x = 0 is

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The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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1

0

3

-1

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

Gooch crucible is made of :

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Brass.

Porcelain.

Bronze.

Gold.

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