Q77.The function ๐ : ๐ โ-1 1 defined as ๐๐ฅ= ๐ฅ is: 2, 2 1 + ๐ฅ2, (1) Invertible (2) Injective but not surjective (3) Surjective but not injective (4) Neither injective nor surjective
What This Question Tests
This problem tests the understanding of injectivity and surjectivity for a given function, requiring analysis of its behavior over its domain and codomain.
Concepts Tested
Formulas Used
f(x1)=f(x2) => x1=x2 for injectivity
Range = Codomain for surjectivity
๐ NCERT Sections This Tests
14.2 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 ยท Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
1.1 โ Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 ยท Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
1.3 โ Define The Following Terms:
Chemistry Class 11 ยท Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
๐ Question Details
- Chapter
- Sets Relations Functions
- Topic
- Injective and surjective functions
- Year
- 2017
- Shift
- 02 Apr
- Q Number
- Q77
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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