JEE Mathematics
Properties of Triangles: JEE Questions & Solutions
9 previous-year JEE Mathematics questions on Properties of Triangles, each with a worked step-by-step solution.
Previous-year questions
- 01If the orthocentre of the triangle formed by the lines y = x + 1, y = 4x - 8, and y = mx + c is at (3, -1), then m - c is:MCQMediumJEE 2025
- 02Let B and C be the two points on the line y + x = 0 such that B and C are symmetric with respect to the origin. Suppose A is a point on y -…MCQMediumJEE 2023
- 03For a triangle ABC, the value of cos 2A + cos 2B + cos 2C is least. If its inradius is 3 and incentre is M, then which of the following is…MCQMediumJEE 2023
- 04From the top A of a vertical wall AB of height 30 m, the angles of depression of the top P and bottom Q of a vertical tower PQ are 15^° and…MCQMediumJEE 2023
- 05Let C(α, β) be the circumcenter of the triangle formed by the lines 4x + 3y = 69, 4y - 3x = 17, and x + 7y = 61. Then ((α - β)² + α + β) is…MCQMediumJEE 2023
- 06In the figure, θ₁ + θ₂ = π/2 and √3 BE = 4 AB. If the area of △ CAB is 2√3 - 3 square units, when θ₂/θ₁ is the largest, then the perimeter…NVAHardJEE 2023
- 07The angle of elevation of the top P of a tower from the feet of one person standing due South of the tower is 45^° and from the feet of…MCQMediumJEE 2023
- 08In a triangle ABC, if cos A + 2 cos B + cos C = 2 and the lengths of the sides opposite to the angles A and C are 3 and 7 respectively,…MCQMediumJEE 2023
- 09If the line x=y=z intersects the line xsin A+ysin B+zsin C-18=0 and xsin 2A+ysin 2B+zsin 2C-9=0, where A,B,C are the angles of a triangle…NVAMediumJEE 2023
Frequently asked questions
Our bank has 9 previous-year JEE Mathematics questions tagged to Properties of Triangles, drawn from JEE papers between 2023 and 2025, including 1 from 2025 alone. Each comes with a full step-by-step solution.
Properties of Triangles is rated Intermediate overall for JEE Mathematics. The PYQs on this page break down as 8 medium, 1 hard.
Of the 9 previous-year questions on Properties of Triangles, 7 are multiple-choice (MCQ) and 2 are numerical-value (NVA) questions.
Based on recent paper analysis, Properties of Triangles is worth about 1 mark in JEE Main. It sits in Trigonometry, a Class 11 Mathematics chapter.
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