KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 83 - 87 of 172

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Question number: 83

» Differential Calculus » Geometric Interpretation of Derivative » Tangents

Appeared in Year: 2013

MCQ▾

Question

The sum of non – real roots of the polynomial equation . (Model Paper)

Choices

Choice (4) Response

a.

Equals 0

b.

Has absolute value bigger than 1

c.

Lies between 0 and 1

d.

Lies between – 1 and 0

Question number: 84

» 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 . The smallest positive integer for which the integer exceed 60 is –

Choices

Choice (4) Response

a.

9

b.

10

c.

8

d.

Question number: 85

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

Suppose a parabola has two intercepts one positive and one negative, and its vertex is . Then which of the following is true –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 86

» Limits & Continuity » Trigonometric Functions

Appeared in Year: 2014

MCQ▾

Question

Let be defined as,

The number of points in at which the function is continuous is –

Choices

Choice (4) Response

a.

4

b.

2

c.

0

d.

6

Question number: 87

» Sequence and Series » N Terms of Special Series (Squares & Cubes)

Appeared in Year: 2014

MCQ▾

Question

Let be an integer. For a permutation of we let . Let be the sum of the roots of and let denote the sum over all permutation of of the number . Then

Choices

Choice (4) Response

a.

b.

c.

d.

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