# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 162 - 166 of 172

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## Question number: 162

Appeared in Year: 2016

MCQ▾

### Question

Suppose the parabola , with vertex , passes through and . Let be an end point of the latus rectum. Let the intersect the axis of the parabola at . Then is equal to –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 163

Appeared in Year: 2016

MCQ▾

### Question

The limit equals –

### Choices

Choice (4) Response

a.

b.

2

c.

d.

## Question number: 164

Appeared in Year: 2016

MCQ▾

### Question

Let be a vector in the plane such that . Then lies in the interval –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 165

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2016

MCQ▾

### Question

Let ; let A and B be points respectively on axis and axis such that . Let be a point in the first quadrant such that is an equilateral triangle. Then the slope of is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 166

Appeared in Year: 2016

MCQ▾

### Question

The number of triples of real number satisfying the equation,

is –

### Choices

Choice (4) Response

a.

4

b.

More than 8

c.

8

d.

0

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