# NDA (National Defence Academy) Mathematics: Questions 305 - 311 of 384

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## Question number: 305

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Appeared in Year: 2012

MCQ▾

### Question

If is a square matrix such that where is the identity matrix, then what ia equal to?

### Choices

Choice (4) Response

a.

A

b.

c.

Transpose of

d.

Null matrix

## Question number: 306

Edit

Appeared in Year: 2012

MCQ▾

### Question

If a matrix has inverse and then which one of the following is correct?

### Choices

Choice (4) Response

a.

May not be equal to

b.

Should be equal to

c.

And should be unit matrices

d.

None of the above

## Question number: 307

Edit
MCQ▾

### Question

Let,

Then, What is the value of

### Choices

Choice (4) Response

a.

0

b.

33

c.

35

d.

13

## Question number: 308

Edit
MCQ▾

### Question

If then what is equal to?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 309

Edit

Appeared in Year: 2012

MCQ▾

### Question

If the sequence is a geometric progression and then what is the value of ?

### Choices

Choice (4) Response

a.

Cannot be determined

b.

5

c.

3

d.

1

## Question number: 310

Edit
MCQ▾

### Question

The actuate angle which the perpendicular from origin on the line makes with the is

### Choices

Choice (4) Response

a.

Negative

b.

Possitive

c.

d.

All of the above

## Question number: 311

Edit

Appeared in Year: 2012

MCQ▾

### Question

If, then what is the unit vector parallel toin the opposite direction?

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague