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JEE Main 2025 Question Paper & Answers

The official JEE Main 2025 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 2025 - January 29 Shift 1

180 Mins 300 Marks
75Questions
300Max Marks

Sample questions from JEE Main 2025 - January 29 Shift 1

1Let the line x+y=1x+y=1 meet the circle x2+y2=4x^2+y^2=4 at the points AA and BB. If the line perpendicular to ABAB and passing through the mid point of the chord ABAB intersects the circle at CC and DD, then the area of the quadrilateral ADBCADBC is equal to:
  • A) 373\sqrt{7}
  • B) 2142\sqrt{14}
  • C) 575\sqrt{7}
  • D) 4144\sqrt{14}
Answer: B
2Let MM and mm respectively be the maximum and the minimum values of f(x)=โˆฃ1+sinโก2xcosโก2x4sinโก4xsinโก2x1+cosโก2x4sinโก4xsinโก2xcosโก2x1+4sinโก4xโˆฃ,xโˆˆR.f(x)=\begin{vmatrix}1+\sin^2x & \cos^2x & 4\sin4x \\ \sin^2x & 1+\cos^2x & 4\sin4x \\ \sin^2x & \cos^2x & 1+4\sin4x\end{vmatrix}, x\in\mathbb{R}. Then M2โˆ’m2M^2-m^2 is equal to:
  • A) 1280
  • B) 1295
  • C) 1040
  • D) 1215
Answer: A
3Two parabolas have the same focus (4,3)(4,3) and their directrices are the xx-axis and the yy-axis, respectively. If these parabolas intersect at the points AA and BB, then (AB)2(AB)^2 is equal to:
  • A) 192
  • B) 384
  • C) 96
  • D) 392
Answer: A
4Let ABCABC be a triangle formed by the lines 7xโˆ’6y+3=07x-6y+3=0, x+2yโˆ’31=0x+2y-31=0 and 9xโˆ’2yโˆ’19=09x-2y-19=0. Let (h,k)(h,k) be the point of the image of the centroid of โ–ณABC\triangle ABC in the line mirror 3x+6yโˆ’53=03x+6y-53=0. Then h2+k2+hkh^2+k^2+hk is equal to:
  • A) 37
  • B) 47
  • C) 40
  • D) 36
Answer: A
5Let aโƒ—=2i^โˆ’j^+3k^\vec{a}=2\hat{i}-\hat{j}+3\hat{k}, bโƒ—=3i^โˆ’5j^+k^\vec{b}=3\hat{i}-5\hat{j}+\hat{k} and cโƒ—\vec{c} be a vector such that aโƒ—ร—cโƒ—=cโƒ—ร—bโƒ—\vec{a}\times\vec{c}=\vec{c}\times\vec{b} and (aโƒ—+cโƒ—)โ‹…(bโƒ—+cโƒ—)=168(\vec{a}+\vec{c})\cdot(\vec{b}+\vec{c})=168. Then the maximum value of โˆฃcโƒ—โˆฃ2|\vec{c}|^2 is:
  • A) 308
  • B) 462
  • C) 616
  • D) 154
Answer: A

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JEE Main 2025 Previous Year Question Paper with Answers (PYQ) | ClassScribe