# KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 88 - 90 of 172

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## Question number: 88

Appeared in Year: 2014

MCQ▾

### Question

In a ellipse, its foci and the ends of its major axis are equally spaced, if the length its semi – minor axis is , then the length of its semi – major axis is:

### Choices

Choice (4) Response

a.

3

b.

4

c.

d.

## Question number: 89

Appeared in Year: 2013

MCQ▾

### Question

A function is defined as,

It is a family of quadratic polynomials in with variable coefficients. And also function,

Which of the following statements are true?

(i)

(ii) has infinitely many critical points.

(iii) (Model Paper)

### Choices

Choice (4) Response

a.

(iii) and (i) only

b.

(i) and (ii) only

c.

(iii) only

d.

(ii) and (iii) only

## Question number: 90

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2013

MCQ▾

### Question

Let be a positive integer such that

Let be the number of digits in the binary expansion of . Then the minimum and maximum possible values of are – (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

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