# Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 41 - 44 of 57

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## Question number: 41

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

### Question

Let be real numbers such that,

For every natural number . Then is equal to – (Model Paper)

### Choices

Choice (4) Response

a.

3

b.

15

c.

7

d.

12

## Question number: 42

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

### Question

An ellipse inscribed in a semi – circle touches the circular are at two distinct points and also touches the bounding diameter. Its major axis is parallel to the bounding diameter. When the ellipse has the maximum possible area, its eccentricity is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 43

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

### Question

The vertices of the base of an isosceles triangle lie on a parabola and the base is a part of the line . If the third vertex of the triangle lies on the X – axis, its coordinates are – (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 44

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

### Question

Let be a triangle such that . Let be the midpoint of and be a point on such that is perpendicular to . If then the ratio equals:

### Choices

Choice (4) Response

a.

1

b.

c.

d.

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