Question # 1

Relation between two numbers or variables are called.

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Function

Binary relation

Inverse relation

None of the above

A set containing only one element is termed as

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Unit set

Singleton set

Both a and b

None of these

The determinant of quadratic form is called.

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Jacobian determinant

Hessian determinant

Discriminant

None of these

A positive definite Hessian fulfills the second order conditions for

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Maximum

Minimum

Both maximum and minimum

Mini max

For any square matrix a of order 'n'a (Ad)A) is equal to.

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(Ad) A) A

Determinant A

Rank of A

Both a and b

if A = A , then A is

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Symmetric matrix

Skew symmetric matrix

Identity matrix

Orthogonal matrix

A matrix with all elements zero other than all the diagonals is called.

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Diagonal matrix

Orthogonal matrix

Unit matrix

Column vector

Union of A and a null set is equal is.

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Intersection of A and null set

Null set

Both a and b

A

If each element of a raw or column is a sum of two elements, the determinant can be expressed as the

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Sun of two determinants

Difference of two determinants

Multiplication of two determinants

Division of two determinants

If every element of a raw of column of a square matrix A is zero, then the value of the determinant. is.

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Equal

One

zero

Not equal

An equation in which all variables are raised to the first power is known as.

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Linear equation

Non linear equation

Quadratic equation

Polynomial of degree two

Union of A and the universal set is

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A

A'

Universal set

None of these

The set of subsets of a set A is called.

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Power set of A

Complement of A

Both a and b

None of these

A possible use in economies for the circle of the ellipse is to model.

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Production possibility curve

Demand curve

Iosco line

Supply curve

Union of A with B is same as union of B with A, that is AUB = BUA is termed as

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Associative law of union

Cumulative law of union

Reflective law

All the above

If each element of a raw of column of a square matrix A is zero, then the value of the determinant. is.

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Equal

One

Zero

None of these

A inverse is defined only if A is a

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Square matrix

Column vector

Orthogonal matrix

Skew symmetric matrix

If a Set C contain all the elements which are present in both the set A and B then set C is called.

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Union of A and B

Intersection of A and B

Complement of A

Complement of B

"Null set is proper subset of all the non nul sets" this statement is.

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Always true

sometimes true

Never true

True subject to some conditions

A square matrix a of order 'n' is called a diagonal matrix if its non diagonal elements are.

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zero

Non zero

One

None of the above

a possible use in encomia's for the circle or the ellipse is to model.

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Production possibility curve

Demand cuve

Isocost liine

Supply curve

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