# Sets, Relations and Functions-Equivalence Relations (KVPY 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 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 with. Then if and only if –

### Choices

Choice (4) Response

a.

are all positive and distinct

b.

are all distinct

c.

At least two of are equal

d.

f Page