KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) 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 Equation , then the length of its semi – major axis is:

Choices

Choice (4) Response

a.

3

b.

4

c.

Equation

d.

Equation

Question number: 89

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2013

MCQ▾

Question

A function Equation is defined as,

Equation

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

Equation Which of the following statements are true?

(i) Equation

(ii) Equation has infinitely many critical points.

(iii) Equation (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 Equation be a positive integer such that

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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