31 JEE Main Properties of Triangles PYQs (2002–2024) with verified answers and step-by-step solutions.
This page collects every JEE Main Properties of Triangles previous-year question from Mathematics, 2002–2024. Each links to a full solution with a verified answer key. Click any year above to narrow the list, or open a question to study its step-by-step working and then practice it on PrepSharp's CBT player.
In a triangle ABC, BC=7, AC=8, AB=α N and A=(2)/(3). If 49 (3 C)+42=mn, where gcd(m, n)=1, then m+n is equal to________
For a triangle A B C , the value of cos 2 A + cos 2 B + cos 2 C is least. If its inradius is 3 and incentre is M , then…
Let a , b and c be the length of sides of a triangle A B C such that a + b 7 = b + c 8 = c + a 9 . If r and R are the r…
If in a triangle A B C ,   A B = 5 units, ∠ B = cos - 1 3 5 and radius of circumcircle of ∆ A B C is 5…
Let in a right angled triangle, the smallest angle be θ . If a triangle formed by taking the reciprocal of its sid…
In ΔABC , the lengths of sides A C and A B are 12   cm and 5   cm , respectively. If the area of ∆…
Let sin A sin B = sin ( A - C ) sin ( C - B ) , where A ,   B ,   C are angles of a triangle A B C . If the l…
If the lengths of the sides of a triangle are in A.P and the greatest angle is double the smallest, then a ratio of len…
With the usual notation in ∆ A B C , if ∠ A + ∠ B = 120 ° ,   a = 3 + 1 units and b = 3 - 1…
Given b+c11=c+a12=a+b13 for a Δ ABC with usual notation. If Aα= Bβ= Cγ, then the ordered triad(α, β, γ) has a value
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