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Friday, 9 October

JEE Main 2024 · MathsMultiple choiceTwo statementsMediumMulti-step

JEE Main 29 January 2024, Shift 1, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Consider the function f:[12,1]→Rf:\left[\frac{1}{2},1\right]\to\mathbb{R} defined by f(x)=42x3−32x−1f(x)=4\sqrt{2}x^3-3\sqrt{2}x-1. Consider the statements (I) The curve y=f(x)y=f(x) intersects the x-axis exactly at one point. (II) The curve y=f(x)y=f(x) intersects the x-axis at x=cos⁡π12x=\cos\frac{\pi}{12}. Then
  1. (1)Both (I) and (II) are correct.Official answer
  2. (2)Both (I) and (II) are incorrect.
  3. (3)Only (I) is correct.
  4. (4)Only (II) is correct.

Official answer

Option 1

NTA final key.

Chapter
Application of Derivatives
Topic
Curve Sketching
Idea tested
Root Counting via Intersection Sketching

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.