Basic Mathematics-Algebra (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 5 of 8

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Question number: 1

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let Equation be a differentiable function such that Equation and Equation for some a < b. Then the minimum numbers of roots of Equation in the interval (a, b) is –

Choices

Choice (4) Response

a.

0

b.

1

c.

3

d.

2

Question number: 2

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2012

MCQ▾

Question

In the real number system, the equation Equation has –

Choices

Choice (4) Response

a.

No solution

b.

Exactly two distinct solutions

c.

Infinitely many solutions

d.

Exactly four distinct solutions

Question number: 3

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2013

MCQ▾

Question

Let ω be a cube root of unity not equal to 1. Then the maximum possible value of Equation where a, b, c ∈ {+1, -1} is –

Choices

Choice (4) Response

a.

Equation

b.

2

c.

Equation

d.

0

Question number: 4

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2012

MCQ▾

Question

The maximum value M ofEquation , as x varies over real, satisfies –

Choices

Choice (4) Response

a.

Equation

b.

9 < M < 25

c.

Equation

d.

Equation

Question number: 5

» 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

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