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

a

be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle

\alpha

with the positive

x

-axis and the equations of its diagonals are

(\sqrt{3}+1)x + (\sqrt{3}-1)y = 0

and

(\sqrt{3}-1)x - (\sqrt{3}+1)y + 8\sqrt{3} = 0

. Then

a^2

is equal to

(1)16
(2)24
(3)48Official answer
(4)32

Official answer

Option 3

NTA final key.

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

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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.