# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 50 - 54 of 57

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## Question number: 50

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2015

MCQ▾

### Question

Among all sectors of a fixed perimeter, choose the one with maximum area. Then the angle at the centre of this sector (i. e. , the angle between the bounding radii) is –

### Choices

Choice (4) Response

a.

b.

c.

d.

2

## Question number: 51

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2015

MCQ▾

### Question

A mirror in the first quadrant is in the shape of a hyperbola whose equation is . A light source in the second quadrant emits a beam of light that hits the mirror at the points . If the reflected ray is parallel to the axis, the slope of the incident beam is –

### Choices

Choice (4) Response

a.

b.

c.

2

d.

## Question number: 52

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2015

MCQ▾

### Question

The largest perfect square that divides is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 53

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Let . Then –

### Choices

Choice (4) Response

a.

b.

c.

is a rational number, but not an integer

d.

is an irrational number

## Question number: 54

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2016

MCQ▾

### Question

In a circle with centre , suppose are three points on its circumference such that is the mid – point of minor arc . Suppose when ,

If is doubled to , then the ratio is –

### Choices

Choice (4) Response

a.

b.

c.

d.

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