JEE Main Maths · Straight Lines

Properties of Triangles in JEE Main

Name: Properties of Triangles: JEE Main previous year questions
Creator: Lumi

Properties of Triangles (Maths, Straight Lines) came 4 times in 4 of the 42 JEE Main shifts Lumi analysed, across 3 distinct ideas. 3 of them came in 2024–26; it was last asked in 2024.

Questions: 4; in 4 shifts
Ideas asked: 3; 1 asked more than once
Numerical answer: 3; 75% of its questions
Pattern: Occasional; last asked 2024

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 0Medium 3Hard 1

Format

Numerical value3 Q
Single correct1 Q

Ideas inside the topic

3 ideas

Inradius and Circumradius2 Q
Cosine Rule Application1 Q
Euler Line Collinearity and Ratios1 Q

Where it sits

Part of Straight Lines, which had 42 questions in all. Properties of Triangles accounts for 10% of them. In Lumi's JEE taxonomy it belongs to Trigonometry.

Some questions sit in other chapters too: Trigonometric Functions.

Every question

All 4 Properties of Triangles questions

Newest first, each with its options and official answer.

6 Apr 2024, Shift 2 · Q30In a triangle $ABC$ , $BC=7$ , $AC=8$ , $AB=\alpha\in\mathbb{N}$ and $\cos A=\frac{2}{3}$ . If $49\cos(3C)+42=\frac{m}{n}$ , where…MediumNumerical value
8 Apr 2024, Shift 1 · Q29If the orthocentre of the triangle formed by the lines $2x+3y-1=0$ , $x+2y-1=0$ and $ax+by-1=0$ , is the centroid of another triangle, whose…HardNumerical value
29 Jan 2024, Shift 1 · Q14Let $\left(5,\frac{a}{4}\right)$ be the circumcenter of a triangle with vertices $A(a,-2)$ , $B(a,6)$ and $C\left(\frac{a}{4},-2\right)$ .…MediumSingle correct
16 Mar 2021, Shift 2 · Q82In $\triangle$ ABC, the lengths of sides AC and AB are 12 cm and 5 cm, respectively. If the area of $\triangle$ ABC is 30 $\mathrm{cm^2}$ …MediumNumerical value