KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 88 - 91 of 172

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Question number: 88

» Coordinate Geometry » Ellipse

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

» Integral Calculus » Integration Using Trigonometric Identities

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.

Question number: 91

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

Question

For a real number let denote the largest integer less than or equal to and . Let be a positive integer. Then is equal to –

Choices

Choice (4) Response

a.

0

b.

c.

1

d.

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