Chapter 2 of 13
Revision Notes
Tangents — Revision Notes
Kerala Board · Class 10 · Mathematics
Tangents revision notes for Kerala Board Class 10 Mathematics: 4 topics in quick points. Part of the Kerala Board Class 10 Mathematics syllabus.
45 questions20 flashcards5 concepts
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Key Topics to Revise
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
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Full NotesKey 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?
Key topics in Tangents include Definition and Basic Properties of Tangents, Tangent-Chord Angle Properties, Construction of Tangents, Tangent Length and Distance Problems. Study these first, then practise questions on each for the Kerala Board Class 10 board exam.
How should I revise Tangents for the Kerala Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Tangents. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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