Learn

Friday, 9 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 January 2024, Shift 2, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

Let aa and bb be real constants such that the function ff defined by f(x)={x2+3x+a,x≤1bx+2,x>1f(x) = \begin{cases} x^2 + 3x + a, & x \leq 1 \\ bx + 2, & x > 1 \end{cases} be differentiable on R\mathbb{R}. Then, the value of ∫−22f(x)dx\int_{-2}^{2} f(x)dx equals
  1. (1)15/615/6
  2. (2)19/619/6
  3. (3)1717Official answer
  4. (4)2121

Official answer

Option 3

NTA final key.

Chapter
Continuity and Differentiability
Topic
Continuity and Differentiability
Idea tested
Finding Unknowns using Differentiability

Same idea in other shifts

Asked 3× in all
  1. 8 Apr 2023, Shift 2 · Q25Let kk and mm be positive real numbers such that the function…MediumNumerical value
  2. 18 Mar 2021, Shift 1 · Q70If f(x)={1∣x∣; ∣x∣≥1ax2+b; ∣x∣<1f(x)=\begin{cases}\dfrac{1}{|x|} & ;\ |x|\ge1\\ ax^2+b & ;\ |x|<1\end{cases} is differentiable at every point of the domain, then the…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.