# NEST (National Entrance Screening Test) Mathematics: Questions 18 - 26 of 50

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## Question number: 18

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Appeared in Year: 2017

MCQ▾

### Question

If are the roots of then the determinant is equal to

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 19

Edit

Appeared in Year: 2017

MCQ▾

### Question

Let be an odd function and suppose for all . Then

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 20

Edit

Appeared in Year: 2017

MCQ▾

### Question

Let be the set of all complex numbers, let Then

### Choices

Choice (4)Response

a.

b.

is proper subset of

c.

is the empty set

d.

is proper subset of

## Question number: 21

Edit
MCQ▾

### Question

Let to two universal set and is equal to

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 22

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MCQ▾

is equal to

### Choices

Choice (4)Response

a.

Does not exist

b.

c.

0

d.

None of the above

## Question number: 23

Edit

Appeared in Year: 2016

MCQ▾

### Question

Let be a matrix with real entries. Let is the transpose of be the identity matrix of order then

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 24

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MCQ▾

### Question

Let if the function be continuous at then, as equal to

### Choices

Choice (4)Response

a.

2

b.

0

c.

d.

1

## Question number: 25

Edit
MCQ▾

### Question

If are the cube root of unity, then is equal to

### Choices

Choice (4)Response

a.

0

b.

c.

1

d.

## Question number: 26

Edit
MCQ▾

The value of is

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

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