# NDA (National Defence Academy) Mathematics: Questions 55 - 61 of 384

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## Question number: 55

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MCQ▾

### Question

The equation formed by multiplying each root of by is .

Which one of the following is correct?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 56

Edit
MCQ▾

### Question

What is the value of if the vectors are coplanar?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 57

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MCQ▾

### Question

What is the sum of the squares of the roots of the equation

### Choices

Choice (4) Response

a.

290

b.

184

c.

177

d.

277

## Question number: 58

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Appeared in Year: 2016

MCQ▾

### Question

Let be a set of all distinct number of the form, where What is the cardinality of the set

### Choices

Choice (4) Response

a.

32

b.

23

c.

21

d.

36

## Question number: 59

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MCQ▾

### Question

If then what is the value of the determinates of

### Choices

Choice (4) Response

a.

1

b.

c.

0

d.

None of the above

## Question number: 60

» Algebra » Complex Numbers » Modulus

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Appeared in Year: 2012

MCQ▾

### Question

If Where, , then what is the value of?

### Choices

Choice (4) Response

a.

b.

4

c.

8

d.

0

## Question number: 61

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MCQ▾

### Question

The seventh term of an is and it’s common difference is greater than What is the first term of the so that the product of the, sixth and seventh terms is greatest?

### Choices

Choice (4) Response

a.

b.

c.

d.