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JEE Main 2026 Question Paper & Answers

The official JEE Main 2026 question paper, with the official answer key. Attempt as a real timed exam (with negative marking) or switch to practice mode for instant per-question answers and explanations.

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Official PYQ

JEE Main 2026 - January 21 Shift 1

180 Mins 300 Marks
75Questions
300Max Marks

Sample questions from JEE Main 2026 - January 21 Shift 1

1If the domain of the function f(x)=cos⁡−1(2x−511−3x)+sin⁡−1(2x2−3x+1)f(x)=\cos^{-1}\left(\frac{2x-5}{11-3x}\right)+\sin^{-1}(2x^2-3x+1) is the interval [α,β][\alpha,\beta], then α+2β\alpha+2\beta is equal to:
  • A) 1
  • B) 3
  • C) 5
  • D) 2
Answer: B
2The area of the region, inside the ellipse x2+4y2=4x^2+4y^2=4 and outside the region bounded by the curves y=∣x∣−1y=|x|-1 and y=1−∣x∣y=1-|x|, is:
  • A) 2(π−1)2(\pi-1)
  • B) 2π−122\pi-\frac{1}{2}
  • C) 3(π−1)3(\pi-1)
  • D) 2π−12\pi-1
Answer: A
3The number of relations, defined on the set {a,b,c,d}\{a,b,c,d\}, which are both reflexive and symmetric, is equal to:
  • A) 256
  • B) 16
  • C) 1024
  • D) 64
Answer: D
4Let a point AA lie between the parallel lines L1L_1 and L2L_2 such that its distances from L1L_1 and L2L_2 are 6 and 3 units, respectively. Then the area (in sq. units) of the equilateral triangle ABCABC, where the points BB and CC lie on the lines L1L_1 and L2L_2 respectively, is:
  • A) 15615\sqrt{6}
  • B) 27
  • C) 21321\sqrt{3}
  • D) 12212\sqrt{2}
Answer: C
5Let a⃗=−i^+2j^+2k^\vec{a}=-\hat{i}+2\hat{j}+2\hat{k}, b⃗=8i^+7j^−3k^\vec{b}=8\hat{i}+7\hat{j}-3\hat{k} and c⃗\vec{c} be a vector such that a⃗×c⃗=b⃗\vec{a}\times\vec{c}=\vec{b}. If c⃗⋅(i^+j^+k^)=4\vec{c}\cdot(\hat{i}+\hat{j}+\hat{k})=4, then ∣a⃗+c⃗∣2|\vec{a}+\vec{c}|^2 is equal to:
  • A) 33
  • B) 30
  • C) 35
  • D) 27
Answer: D

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JEE Main 2026 Previous Year Question Paper with Answers (PYQ) | ClassScribe