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.

 Figure made up of three squares

Figure Made Up of Three Squares

In figure AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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.

Equation

b.

Equation

c.

2

d.

Equation

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:

Circle with center O and points A, B, F lie on the circle

Circle With Center O and Points a, B, F Lie on the Circle

In figure on circle with center O, points A and B are such that OA = AB. A point C is located tangent at B to the circle such that A and C are on the opposite side of the line OB and AB = BC.

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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