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 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 Equation let Equation denote the largest integer less than or equal to Equation . The smallest positive integer Equation for which the integer Equation exceed 60 is –

Choices

Choice (4) Response

a.

9

b.

10

c.

8

d.

Equation

Question number: 85

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 86

» Limits & Continuity » Trigonometric Functions

Appeared in Year: 2014

MCQ▾

Question

Let Equation be defined as,

Equation

The number of points in Equation at which the function Equation 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 Equation be an integer. For a permutation Equation of Equation we let Equation . Let Equation be the sum of the roots of Equation and let Equation denote the sum over all permutation Equation of Equation of the number Equation . Then

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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