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Mathematics - Properties of Triangles

Practise 8 KCET previous year questions on Properties of Triangles, compiled from papers spanning 2008 to 2017. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KCET tests.

Properties of Triangles has been asked in 7 of the 20 years of KCET papers analysed (2007–2026), with 8 questions in all. 50% of them were easy, 38% moderate and 13% tough. Most of its questions came from 2010, with 2 questions that year. In the last three years (2024–2026) it had 0 questions across 3 papers, about 0 per paper.

The chapter's 3 topics are not weighted equally: Sine Rule and its application (3 questions, 38%), Cosine Rule and Projection Formula (3 questions, 38%), and Napiers Analogy, Area of Triangle & Half angle Formulae (2 questions, 25%) have been asked the most. Sine Rule and its application has produced the most tough questions (1).

  1. 1The rate of change of volume of a sphere with respect to its surface area when the radius is \( 4 \) \( {cm} \) is2017Napiers Analogy, Area of Triangle & Half angle Formulae
  2. 2Which one of the following is not correct for the features of exponential function given by \( {f}(x)=b^{x} \) where \( {b}>1 ? \)2014Cosine Rule and Projection Formula
  3. 3In a , if and , then its area is2013Cosine Rule and Projection Formula
  4. 4In any , the simplified form of is2011Cosine Rule and Projection Formula
  5. 5This sides of a triangle are and . The tangent of the smallest angle of the triangle is2010Napiers Analogy, Area of Triangle & Half angle Formulae
  6. 6In , if and , then (A, b) equals2010Sine Rule and its application
  7. 7If one side of a triangle is double the other and the angles opposite to these sides differ by , then the triangle is2009Sine Rule and its application
  8. 8The angles and of a triangle are in AP. If , then the angle is2008Sine Rule and its application

Frequently Asked Questions

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

This chapter includes 8 questions compiled from KCET papers spanning 2008 to 2017.

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

These are KCET 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 KCET Mathematics?

Properties of Triangles has appeared in 7 of the 20 years of KCET papers covered here, with 8 questions across 7 papers - about one per paper it appears in.

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

Of the 8 questions analysed for this chapter, 50% are easy, 38% moderate and 13% tough. 2010 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:

  • Sine Rule and its application - 3 questions (38%)
  • Cosine Rule and Projection Formula - 3 questions (38%)
  • Napiers Analogy, Area of Triangle & Half angle Formulae - 2 questions (25%)
  • Sine Rule and its application has produced the most tough questions (1).
6.Is Properties of Triangles's weightage in KCET going up or down?

Across all 7 papers analysed, Properties of Triangles has averaged about 1.1 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.