# NDA (National Defense Academy) Mathematics: Questions 150 - 158 of 384

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## Question number: 150

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Appeared in Year: 2012

MCQ▾

### Question

If , then what is the value of ?

### Choices

Choice (4)Response

a.

b.

1

c.

d.

## Question number: 151

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Appeared in Year: 2012

MCQ▾

### Question

If and there exists point in the interval such that then what is the value of

### Choices

Choice (4)Response

a.

2.8

b.

3.5

c.

2.5

d.

3

## Question number: 152

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Appeared in Year: 2012

MCQ▾

### Question

Which one of the following function is differentiable for all real values of

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 153

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MCQ▾

### Question

How many tangents are parallel to for the curve

### Choices

Choice (4)Response

a.

3

b.

No Tangent is parallel to

c.

6

d.

1

## Question number: 154

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MCQ▾

### Question

If has a root in which one of the following intervals

### Choices

Choice (4)Response

a.

(0,2)

b.

(1,2)

c.

(2,3)

d.

(-2,0)

## Question number: 155

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Appeared in Year: 2012

MCQ▾

### Question

What is the equation of line passing through and making an angle with the equal to the inclination of the line with ?

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 156

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MCQ▾

### Question

The solution of the simultaneous linear equationsand will be satisfied by which one of the following linear equation?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 157

Edit
MCQ▾

### Question

If , then what is the value of

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 158

Edit

Appeared in Year: 2012

MCQ▾

### Question

If vectors and are orthogonal to each other, then what is the locus of the point

### Choices

Choice (4)Response

a.

A circle

b.

An ellipse

c.

Straight line

d.

A parabola

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