Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Q201 Marksinjectivity_surjectivity

CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Question 20 (Relations And Functions)

Assertion: f:ℕ→ℕ, f(x)=x³+2 is injective but not onto. Reason: For every natural y there is no natural x with x³+2=y.

✅ Step-by-Step Solution

Final Answer: Assertion true, reason false.
  1. Strict increase proves injectivity and y=1 has no preimage. However y=3 has preimage x=1, so the universal claim in the reason is false.

Master Chapter 1: Relations And Functions

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Relations And Functions.
📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →
← Previous Question
Assertion: Square matrices with AB and BA defined need not satisfy…
Next Question →
Find a vector of length 5 perpendicular to both (4,−1,3) and…

All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/4/2

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38

Related Questions in Relations And Functions

Class 12 Relations And Functions · Mcq Single Correct
Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the minimum number of…
Class 12 Relations And Functions · Mcq Single Correct
The function \(f:\mathbb{R}\to\mathbb{R}\) defined by \(f(x)=e^x\) is
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to\mathbb{R}\)…
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to S\), defined by \(f(x)=\sin x-\sqrt{3}\cos x+1\), is onto, then the…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Then the number of bijective functions from \(A\) to…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A\) and \(B\) be two finite sets having \(m\) and \(n\) elements respectively. Then the…