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Saturday, 31 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2025, Shift 2, Maths Q11

Question 11 of 75 in this shift, Maths question 11 of 25, Section A.

Let aa be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle α\alpha with the positive xx-axis and the equations of its diagonals are (3+1)x+(3−1)y=0(\sqrt{3}+1)x + (\sqrt{3}-1)y = 0 and (3−1)x−(3+1)y+83=0(\sqrt{3}-1)x - (\sqrt{3}+1)y + 8\sqrt{3} = 0. Then a2a^2 is equal to
  1. (1)16
  2. (2)24
  3. (3)48Official answer
  4. (4)32

Official answer

Option 3

NTA final key.

Chapter
Straight Lines
Topic
Straight Line Distance
Idea tested
Square Area from Vertex and Diagonal

Same idea in other shifts

Asked 2× in all
  1. 29 Jul 2022, Shift 2 · Q11Let m1m_1, m2m_2 be the slopes of two adjacent sides of a square of side a such that a2+11a+3(m12+m22)=220a^2+11a+3\left(m_1^2+m_2^2\right)=220. If one…HardSingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.