# Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 1 - 5 of 64

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## Question number: 1

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2009

MCQ▾

### Question

In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 10 and DC = 3 and the sides AB, BC and AC are integer, the inradius of ABC is

### Choices

Choice (4) Response

a.

4

b.

5

c.

2

d.

3

## Question number: 2

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

MCQ▾

### Question

In the figure, AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X. Then the ratio of the areas of triangles AXF and ABF is.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 3

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2012

MCQ▾

### Question

In a triangle ABC, it is known that AB = AC. Suppose D is the mid-point of AC and BD = BC = 2. Then the area of the triangle ABC, is.

### Choices

Choice (4) Response

a.

b.

c.

2

d.

## Question number: 4

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2010

MCQ▾

### Question

The sides of a triangle ABC are positive integers. The smallest side has length 1. Which of the following statement is true?

### Choices

Choice (4) Response

a.

The area of ABC is always an irrational number

b.

The area of ABC is always a rational number

c.

The information provided is not sufficient to conclude any of the statements A, B or C above

d.

The perimeter of ABC is an even integer

## Question number: 5

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

### Question

On the circle with center O, points A, B are such that OA = AB. A point C is located on the tangent at B to the circle such that A and C are on the opposite sides of the line OB and AB = BC. The line segment AC intersects the circle again at F. Then the ratio ∠BOF: ∠BOC is equal to:

The line segment AC intersects the circle again at F.

### Choices

Choice (4) Response

a.

1: 2

b.

4: 5

c.

2: 3

d.

3: 4

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