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Mathematics - Properties of Triangles

Practise 9 VITEEE previous year questions on Properties of Triangles, compiled from papers spanning 2007 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 VITEEE tests.

Properties of Triangles has been asked in 7 of the 18 years of VITEEE papers analysed (2006–2024), with 9 questions in all. 44% of them were easy, 56% moderate and 0% tough. Most of its questions came from 2023, with 2 questions that year. In the last three years (2022–2024) it had 4 questions across 2 papers, about 2 per paper.

The chapter's 3 topics are not weighted equally: Circle Connected to Triangle (3 questions, 33%), Cosine Rule and Projection Formula (3 questions, 33%), and Napiers Analogy, Area of Triangle & Half angle Formulae (3 questions, 33%) have been asked the most. Over the last five years the most frequent topics have been Napiers Analogy, Area of Triangle & Half angle Formulae (3) and Cosine Rule and Projection Formula (1).

  1. 1In a triangle \(A B C, {a A+b B+c C}{a+b+c}\) is equal to2023Cosine Rule and Projection Formula
  2. 2The acute angle between the medians drawn through the acute angle of an isosceles right angled triangle is2023Napiers Analogy, Area of Triangle & Half angle Formulae
  3. 3If \(A, B, C\) are the angles of a triangle such that angle \(A\) is obtuse, then \( B C\) will be less than2022Napiers Analogy, Area of Triangle & Half angle Formulae
  4. 4If the roots of \(z^3+i z^2+2 i=0\) represent the vertices of a \( {ABC}\) in the Argand plane, then the area of the triangle is2022Napiers Analogy, Area of Triangle & Half angle Formulae
  5. 5If the vertices of a triangle are and , then the orthocentre of , is2014Circle Connected to Triangle
  6. 6In an equilateral triangle, the inradius, circumradius and one of the exradii are in the ratio2011Circle Connected to Triangle
  7. 7is equal to2010Circle Connected to Triangle
  8. 8In a equals2009Cosine Rule and Projection Formula
  9. 9If the normal at on the parabola , meets the parabola again at , then2007Cosine Rule and Projection Formula

Frequently Asked Questions

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

This chapter includes 9 questions compiled from VITEEE papers spanning 2007 to 2023.

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

These are VITEEE 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 VITEEE Mathematics?

Properties of Triangles has appeared in 7 of the 18 years of VITEEE papers covered here, with 9 questions across 7 papers - about one per paper it appears in.

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

Of the 9 questions analysed for this chapter, 44% are easy, 56% moderate and 0% tough. 2023 had the most, with 2 questions.

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

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

  • Circle Connected to Triangle - 3 questions (33%)
  • Cosine Rule and Projection Formula - 3 questions (33%)
  • Napiers Analogy, Area of Triangle & Half angle Formulae - 3 questions (33%)
6.Is Properties of Triangles's weightage in VITEEE going up or down?

Across all 7 papers analysed, Properties of Triangles has averaged about 1.3 questions per paper. In the last three years (2022–2024), that average has risen, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.