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Knowledge
This chapter explores the properties and characteristics of tangents to circles, defining tangents as lines that touch the circle at a single point. It establishes that the tangent is perpendicular to the radius at the point of contact and examines the conditions under which tangents can be drawn from points both inside and outside the circle. Various activities and examples illustrate these concepts and highlight the equal lengths of tangents from an external point.
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Sections
References
NCERT Study MaterialClass Notes
Memorization
What we have learnt
- A circle consists of points...
- Tangents intersect a circle...
- The length of tangents draw...
Final Test
Revision Tests
Chapter FAQs
What we have learnt
- A circle consists of points at a constant distance (radius) from a center.
- Tangents intersect a circle at only one point, while secants intersect at two.
- The length of tangents drawn from an external point to a circle are equal.
- The radius at the point of contact with the tangent is perpendicular to the tangent.
Key Concepts
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Term: Tangent
Definition: A line that intersects a circle at exactly one point.
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Term: Secant
Definition: A line that intersects a circle at two points.
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Term: Normal
Definition: The line containing the radius through the point of contact; it is perpendicular to the tangent.
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Term: Point of Contact
Definition: The point at which a tangent touches the circle.