Sets, Relations and Functions-Equivalence Relations (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 2 of 2

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Question number: 1

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2012

MCQ▾

Question

Let n be a natural number and let ‘a’ be a real number. The number of zeros of Equation in the interval [-1, 1] is

Choices

Choice (4) Response

a.

2 if a < 0

b.

At least three for every value of a

c.

2 if a > 0

d.

At most one for every value of a

Question number: 2

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2012

MCQ▾

Question

Let f: R ⟶ R be the function Equation with Equation . Then Equation if and only if –

Choices

Choice (4) Response

a.

Equation are all positive and distinct

b.

Equation are all distinct

c.

At least two of Equation are equal

d.

Equation

f Page
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