JEE Main 2025 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 2 April 2025, Shift 1, Maths Q5

Question 5 of 75 in this shift, Maths question 5 of 25, Section A.

Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutually perpendicular. Let the areas of the triangles ABC, ACD and ADB be 5, 6 and 7 square units respectively. Then the area (in square units) of the

\Delta

BCD is equal to :

(1) $7\sqrt{3}$
(2)12
(3) $\sqrt{110}$ Official answer
(4) $\sqrt{340}$

Official answer

Option 3

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Cross Product
Idea tested: Area of Triangles and Parallelograms

Same idea in other shifts

Asked 4× in all

6 Apr 2026, Shift 2 · Q15Let $\vec{a}=2\hat{i}+3\hat{j}+3\hat{k}$ and $\vec{b}=6\hat{i}+3\hat{j}+3\hat{k}$ . Then the square of the area of the triangle with…EasySingle correct
9 Apr 2024, Shift 1 · Q18Let three vectors $\vec{a}=\alpha\hat{i}+4\hat{j}+2\hat{k}$ , $\vec{b}=5\hat{i}+3\hat{j}+4\hat{k}$ , $\vec{c}=x\hat{i}+y\hat{j}+z\hat{k}$ …MediumSingle correct
13 Apr 2023, Shift 2 · Q18Let for a triangle ABC, $\overrightarrow{AB}=-2\hat{i}+\hat{j}+3\hat{k}$ $\overrightarrow{CB}=\alpha\hat{i}+\beta\hat{j}+\gamma\hat{k}$ …MediumSingle 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 42 of the 174 JEE Main shifts held from 2017 to 2026.