# NDA (National Defense Academy) Mathematics: Questions 51 - 59 of 384

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## Question number: 51

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Appeared in Year: 2012

MCQ▾

### Question

What is perimeter of the triangle with vertices and ?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 52

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MCQ▾

### Question

What is the term of the sequence 4,8, 12,16,20,24,28,32, …. . ?

### Choices

Choice (4)Response

a.

4n

b.

c.

d.

## Question number: 53

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MCQ▾

### Question

What is the distance between the lines and ?

### Choices

Choice (4)Response

a.

units

b.

units

c.

0

d.

units

## Question number: 54

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MCQ▾

### Question

What is equal to? Where,

### Choices

Choice (4)Response

a.

b.

0

c.

2

d.

## 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

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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

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