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Tangents

Kerala Board · Class 10 · Mathematics

Complete topic list for Tangents in Kerala Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards5 concepts

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4 Topics · Kerala Board Class 10 Mathematics

Topics in Tangents

1

Definition and Basic Properties of Tangents

  • A tangent to a circle is a line that touches the circle at exactly one point called the point of contact
  • The tangent at any point on a circle is perpendicular to the radius through that point
  • From any point outside a circle, exactly two tangents can be drawn to the circle
2

Tangent-Chord Angle Properties

  • The angle between a tangent and a chord through the point of contact equals the angle in the alternate segment
  • Angles in the same segment are equal to the angle between tangent and chord
  • The angle between tangents at ends of a chord plus the central angle of the chord equals 180°
3

Construction of Tangents

  • To construct tangent at a given point on circle: draw perpendicular to radius at that point
  • To construct tangents from external point: use the circle with diameter as line joining external point to center
  • The intersection points of this auxiliary circle with the original circle give the points of contact
4

Tangent Length and Distance Problems

  • Use Pythagorean theorem: (tangent length)² + (radius)² = (distance from external point to center)²
  • Two tangents from same external point are always equal in length
  • Right triangle is always formed by radius, tangent, and line from center to external point

Key Concepts

A tangent to a circleThe most important propertyFrom any external pointKey angle relationshipsTwo circles can have common tangents

Frequently Asked Questions

What are the important topics in Tangents for Kerala Board Class 10 Mathematics?
Tangents covers several key topics that are frequently asked in Kerala Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Tangents — Kerala Board Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 13 chapters — Kerala Board Class 10 Mathematics Syllabus

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