# NEST (National Entrance Screening Test) Mathematics: Questions 41 - 49 of 50

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## Question number: 41

Edit

Appeared in Year: 2017

MCQ▾

### Question

The value of the integral is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 42

Edit

Appeared in Year: 2017

MCQ▾

### Question

If for same positive integer we have then is

### Choices

Choice (4)Response

a.

b.

c.

2

d.

1

## Question number: 43

Edit
MCQ▾

### Question

The value of for which the function is continuous for all , are:

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 44

Edit
MCQ▾

### Question

is greatest inter function, is equal to

### Choices

Choice (4)Response

a.

2

b.

Does not exist

c.

0

d.

1

## Question number: 45

Edit

Appeared in Year: 2017

MCQ▾

### Question

Let be two functions such that then

### Choices

Choice (4)Response

a.

is always onto

b.

is always one-one

c.

is always onto

d.

is always one-one

## Question number: 46

Edit
MCQ▾

### Question

For a positive real number k. let be the ellipse with equation where All member of the family of ellipses have the same

### Choices

Choice (4)Response

a.

Foci

b.

Eccentricity

c.

Pair of directrices

d.

Centre

## Question number: 47

Edit
MCQ▾

### Question

If then which of the following is not correct.

### Choices

Choice (4)Response

a.

b.

is continuous at

c.

d.

is discontinuous at

## Question number: 48

Edit

Appeared in Year: 2017

MCQ▾

### Question

Let be two matrices. Then the identity is

### Choices

Choice (4)Response

a.

True is

b.

True is is the identity matrix

c.

True is is the zero matrix

d.

True is

## Question number: 49

Edit

Appeared in Year: 2016

MCQ▾

### Question

Let be two non –collinear vectors and If then is

### Choices

Choice (4)Response

a.

b.

c.

d.

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