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Mathematics - Properties of Triangles

Practise 17 WBJEE previous year questions on Properties of Triangles, compiled from papers spanning 2009 to 2023. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty WBJEE tests.

Properties of Triangles has been asked in 9 of the 18 years of WBJEE papers analysed (2009–2026), with 17 questions in all. 29% of them were easy, 47% moderate and 24% tough. Most of its questions came from 2012, with 4 questions that year. In the last three years (2024–2026) it had 0 questions across 3 papers, about 0 per paper.

The chapter's 5 topics are not weighted equally: Sine Rule and its application (8 questions, 47%), Cosine Rule and Projection Formula (3 questions, 18%), and Napiers Analogy, Area of Triangle & Half angle Formulae (2 questions, 12%) have been asked the most. Over the last five years the most frequent topics have been Cosine Rule and Projection Formula (1) and Circle and Polygon (1). Sine Rule and its application has produced the most tough questions (2).

  1. 1\(A, B\) are fixed points with coordinates \((0, a)\) and \((0, b)(a > 0, b > 0)\). \(P\) is variable point \((x, 0)\) referred to rectangul2023Cosine Rule and Projection Formula
  2. 2\(A B C\) is an isosceles triangle with an inscribed circle with centre \(O\). Let \(P\) be the midpoint of \(B C\). If \(A B=A C=15\) and \2023Circle and Polygon
  3. 3The angles of a triangle are in the ratio 2: 3: 7 and the radius of the circumscribed ircle is . The length of the smallest ide is2019Circle and Polygon
  4. 4If in a and are the altitudes and is the circumradius, then the radius of the circumcircle of is2016Sine Rule and its application
  5. 5In , if then2015Cosine Rule and Projection Formula
  6. 6ln a if and are the inradius and circumrodius of the ABC respectively, then is equal to2015Circle Connected to Triangle
  7. 7In a are the sides of the triangle opposite to the angles respectively. Then, the value of is equal to2014Sine Rule and its application
  8. 8Lines and intersect the ellipse at the points and . The area of the is2013Napiers Analogy, Area of Triangle & Half angle Formulae
  9. 9Let and be the sides opposite to the angles and respectively in a If then the triangle is2012Sine Rule and its application
  10. 10Let and be the side4s opposite to the angles and respectively in a . Then, equals2012Sine Rule and its application
  11. 11Let and be the altitudes of a triangle with area and perimeter Then, the value of is2012Napiers Analogy, Area of Triangle & Half angle Formulae
  12. 12The incentre of an equilateral triangle is (1,1) and the equation of ene side is Then, the equation of the circumeircle of the triangle is2012Circle Connected to Triangle
  13. 13If angles and are in A.P., then is equal to2010Sine Rule and its application
  14. 14In is equal to2010Cosine Rule and Projection Formula
  15. 15If , then2009Sine Rule and its application
  16. 16In a triangle if , then the triangle is2009Sine Rule and its application
  17. 17In triangle and , then is equal to2009Sine Rule and its application

Frequently Asked Questions

1.How many questions are available for Properties of Triangles?

This chapter includes 17 questions compiled from WBJEE papers spanning 2009 to 2023.

2.Are these questions only from WBJEE, or from other exams too?

These are WBJEE questions specifically for the Properties of Triangles chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Properties of Triangles an important chapter for WBJEE Mathematics?

Properties of Triangles has appeared in 9 of the 18 years of WBJEE papers covered here, with 17 questions across 9 papers - about 2 per paper it appears in.

4.What is the difficulty level of Properties of Triangles questions in WBJEE?

Of the 17 questions analysed for this chapter, 29% are easy, 47% moderate and 24% tough. 2012 had the most, with 4 questions.

5.Which topics in Properties of Triangles should I focus on?

These topics have carried the most weightage in Properties of Triangles:

  • Sine Rule and its application - 8 questions (47%)
  • Cosine Rule and Projection Formula - 3 questions (18%)
  • Napiers Analogy, Area of Triangle & Half angle Formulae - 2 questions (12%)
  • Sine Rule and its application has produced the most tough questions (2).
6.Is Properties of Triangles's weightage in WBJEE going up or down?

Across all 9 papers analysed, Properties of Triangles has averaged about 1.9 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.