Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 10 - 12 of 14

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

Question number: 10

» 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

Question number: 11

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

Question

Let Equation and Equation . Which of the following statements are true?

(i) Domain of Equation = Domain of Equation

(ii) Domain of Equation = Domain of Equation

(iii) Domain of Equation = Domain of Equation

(iv) Domain of Equation = Domain of Equation

Choices

Choice (4) Response

a.

Only (i) and (iv)

b.

Only (i)

c.

Only (iii) and (v)

d.

Only (i) and (ii)

Question number: 12

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

Question

For given two functions,

Equation and Equation .

Which of the following statement are true?

Equation Domain of Equation Domain of Equation

Equation Domain of Equation Domain of Equation

Equation Domain of Equation Domain of Equation

Equation Domain of Equation Domain of Equation (Model Paper)

Choices

Choice (4) Response

a.

Only (i) and (iv)

b.

Only (i)

c.

Only (i) and (ii)

d.

Only (iii) and (iv)

f Page
Sign In