KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 88 - 90 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 22 , then the length of its semi – major axis is:

Choices

Choice (4) Response

a.

3

b.

4

c.

10

d.

23

Question number: 89

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2013

MCQ▾

Question

A function At(x) is defined as,

At(x)=(2sint)x2+(3cost)xcost,(Forx,tR)

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

B(t)=01At(x)dx Which of the following statements are true?

(i) A(t)<0,forallt

(ii) A(t) has infinitely many critical points.

(iii) A(t)>0,forallt (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 n be a positive integer such that

log2log2log2log2log2(n)<0<log2log2log2log2(n)

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

Choices

Choice (4) Response

a.

5and17

b.

3and257

c.

16and256

d.

1and17

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