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Properties of Triangle PYQs - Last 10 Years

JEE Advanced / Mathematics / Trigonometry / 9 recent questions

MathematicsTrigonometry2014-2023

Practice 9 JEE Advanced Mathematics questions from Properties of Triangle. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

9
PYQs on Page
Mathematics / Trigonometry
2014-2023
Year Range
Based on indexed question metadata
6
Last 5 Years
2019-2023
9
Last 10 Years
2014-2023

Recent Year Trend

2015
2016
2019
2020
2021
2023Latest year
20152 max PYQs/year2023

Question Types

9PYQs
MCQM44.4%
INTEGER33.3%
MCQ22.2%

Difficulty Mix

#1 Medium5
#2 Hard4
6 in last 5 years9 in last 10 years

Last 10 Years Properties of Triangle Questions

Showing 9 of 9 filtered questions.

1Properties Of Triangle
\(\text { Let } a \text { be the area of the triangle } A B C \text {. Then the value of }(64 a)^2 \text { is }\) :
INTEGER+3 / -02023
2Properties Of Triangle
Consider a triangle PQR having sides of lengths p, q and r opposite to the angles P, Q and R, respectively. Then which of the following statements is (are) TRUE?
MCQM+4 / -22021
3Properties Of Triangle
In a triangle ABC, let AB = \(\sqrt {23}\), BC = 3 and CA = 4. Then the value of \({{\cot A + \cot C} \over {\cot B}}\) is _________.
INTEGER+4 / -02021
4Properties Of Triangle
Let x, y and z be positive real numbers. Suppose x, y and z are the lengths of the sides of a triangle opposite to its angles X, Y, and Z, respectively. If\(\tan {X \over 2} + \tan {Z \over 2} = {{2y} \over {x + y + z}}\), then which of the...
MCQM+4 / -22020
5Properties Of Triangle
In a triangle PQR, let a = QR, b = RP, and c = PQ. If |a| = 3, |b| = 4 and \({{a\,.(\,c - \,b)} \over {c\,.\,(a - \,b)}} = {{|a|} \over {|a| + |b|}}\), then the value of |a \(\times\) b|2 is ......
INTEGER+4 / -02020
6Properties Of Triangle
In a non-right-angled triangle \(\Delta\)PQR, let p, q, r denote the lengths of the sides opposite to the angles At P, Q, R respectively. The median from R meets the side PQ at S, the perpendicular from P meets the side QR at E, and RS and...
MCQM+4 / -12019
7Properties Of Triangle
In a triangle \(\Delta\)\(XYZ\), let \(x, y, z\) be the lengths of sides opposite to the angles \(X, Y, Z\) respectively, and \(2s = x + y + z\).
If \({{s - x} \over 4} = {{s - y} \over 3} = {{s - z} \over 2}\) and area of incircle of the ...
MCQM+4 / -22016
8Properties Of Triangle
Match the following :

.tg {border-collapse:collapse;border-spacing:0;width:100%}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:no...
MCQ+4 / -02015
9Properties Of Triangle
In a triangle the sum of two sides is \(x\) and the product of the same sides is \(y\). If \({x^2} - {c^2} = y\), where \(c\) is the third side of the triangle, then the ratio of the in radius to the circum-radius of the triangle is
MCQ+3 / -12014